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Finding the Fourth Proportional to 84.29, 116.24 and 53.17

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Solution

The fourth proportional to 84.29, 116.24 and 53.17 is: 73.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.29 : 116.24 = 53.17 : x
  2. Step 2: Convert to fraction form
    84.29/116.24 = 53.17/x
  3. Step 3: Cross multiply
    84.29x = 116.24 × 53.17
  4. Step 4: Simplify right side
    84.29x = 6,179.90
  5. Step 5: Solve for x
    x = 6,179.90/84.29
  6. Step 6: Final answer
    x = 73.32

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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.