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Finding the Fourth Proportional to 61.68, 84.60 and 59.16

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Solution

The fourth proportional to 61.68, 84.60 and 59.16 is: 81.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.68 : 84.60 = 59.16 : x
  2. Step 2: Convert to fraction form
    61.68/84.60 = 59.16/x
  3. Step 3: Cross multiply
    61.68x = 84.60 × 59.16
  4. Step 4: Simplify right side
    61.68x = 5,004.94
  5. Step 5: Solve for x
    x = 5,004.94/61.68
  6. Step 6: Final answer
    x = 81.14

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.