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Finding the Fourth Proportional to 61.58, 84.14 and 61.17

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Solution

The fourth proportional to 61.58, 84.14 and 61.17 is: 83.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.58 : 84.14 = 61.17 : x
  2. Step 2: Convert to fraction form
    61.58/84.14 = 61.17/x
  3. Step 3: Cross multiply
    61.58x = 84.14 × 61.17
  4. Step 4: Simplify right side
    61.58x = 5,146.54
  5. Step 5: Solve for x
    x = 5,146.54/61.58
  6. Step 6: Final answer
    x = 83.58

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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.