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Finding the Fourth Proportional to 85.08, 127.62 and 30.99

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Solution

The fourth proportional to 85.08, 127.62 and 30.99 is: 46.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.08 : 127.62 = 30.99 : x
  2. Step 2: Convert to fraction form
    85.08/127.62 = 30.99/x
  3. Step 3: Cross multiply
    85.08x = 127.62 × 30.99
  4. Step 4: Simplify right side
    85.08x = 3,954.94
  5. Step 5: Solve for x
    x = 3,954.94/85.08
  6. Step 6: Final answer
    x = 46.49

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.