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Finding the Fourth Proportional to 85, 117.24 and 76.24

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Solution

The fourth proportional to 85, 117.24 and 76.24 is: 105.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    85 : 117.24 = 76.24 : x
  2. Step 2: Convert to fraction form
    85/117.24 = 76.24/x
  3. Step 3: Cross multiply
    85x = 117.24 × 76.24
  4. Step 4: Simplify right side
    85x = 8,938.38
  5. Step 5: Solve for x
    x = 8,938.38/85
  6. Step 6: Final answer
    x = 105.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.