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Finding the Fourth Proportional to 86.34, 129.47 and 40.66

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Solution

The fourth proportional to 86.34, 129.47 and 40.66 is: 60.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.34 : 129.47 = 40.66 : x
  2. Step 2: Convert to fraction form
    86.34/129.47 = 40.66/x
  3. Step 3: Cross multiply
    86.34x = 129.47 × 40.66
  4. Step 4: Simplify right side
    86.34x = 5,264.25
  5. Step 5: Solve for x
    x = 5,264.25/86.34
  6. Step 6: Final answer
    x = 60.97

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