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Finding the Fourth Proportional to 85, 127.54 and 50.80

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Solution

The fourth proportional to 85, 127.54 and 50.80 is: 76.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    85 : 127.54 = 50.80 : x
  2. Step 2: Convert to fraction form
    85/127.54 = 50.80/x
  3. Step 3: Cross multiply
    85x = 127.54 × 50.80
  4. Step 4: Simplify right side
    85x = 6,479.03
  5. Step 5: Solve for x
    x = 6,479.03/85
  6. Step 6: Final answer
    x = 76.22

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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.