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Finding the Fourth Proportional to 61.34, 84.10 and 59.28

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Solution

The fourth proportional to 61.34, 84.10 and 59.28 is: 81.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.34 : 84.10 = 59.28 : x
  2. Step 2: Convert to fraction form
    61.34/84.10 = 59.28/x
  3. Step 3: Cross multiply
    61.34x = 84.10 × 59.28
  4. Step 4: Simplify right side
    61.34x = 4,985.15
  5. Step 5: Solve for x
    x = 4,985.15/61.34
  6. Step 6: Final answer
    x = 81.27

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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.