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Finding the Fourth Proportional to 77.31, 116.10 and 61.38

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Solution

The fourth proportional to 77.31, 116.10 and 61.38 is: 92.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.31 : 116.10 = 61.38 : x
  2. Step 2: Convert to fraction form
    77.31/116.10 = 61.38/x
  3. Step 3: Cross multiply
    77.31x = 116.10 × 61.38
  4. Step 4: Simplify right side
    77.31x = 7,126.22
  5. Step 5: Solve for x
    x = 7,126.22/77.31
  6. Step 6: Final answer
    x = 92.18

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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.