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Finding the Fourth Proportional to 61.57, 84.96 and 42.19

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Solution

The fourth proportional to 61.57, 84.96 and 42.19 is: 58.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.57 : 84.96 = 42.19 : x
  2. Step 2: Convert to fraction form
    61.57/84.96 = 42.19/x
  3. Step 3: Cross multiply
    61.57x = 84.96 × 42.19
  4. Step 4: Simplify right side
    61.57x = 3,584.46
  5. Step 5: Solve for x
    x = 3,584.46/61.57
  6. Step 6: Final answer
    x = 58.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.