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Finding the Fourth Proportional to 86.59, 119.71 and 74.29

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Solution

The fourth proportional to 86.59, 119.71 and 74.29 is: 102.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.59 : 119.71 = 74.29 : x
  2. Step 2: Convert to fraction form
    86.59/119.71 = 74.29/x
  3. Step 3: Cross multiply
    86.59x = 119.71 × 74.29
  4. Step 4: Simplify right side
    86.59x = 8,893.26
  5. Step 5: Solve for x
    x = 8,893.26/86.59
  6. Step 6: Final answer
    x = 102.71

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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.