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Finding the Fourth Proportional to 67.60, 100.82 and 61.12

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Solution

The fourth proportional to 67.60, 100.82 and 61.12 is: 91.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.60 : 100.82 = 61.12 : x
  2. Step 2: Convert to fraction form
    67.60/100.82 = 61.12/x
  3. Step 3: Cross multiply
    67.60x = 100.82 × 61.12
  4. Step 4: Simplify right side
    67.60x = 6,162.12
  5. Step 5: Solve for x
    x = 6,162.12/67.60
  6. Step 6: Final answer
    x = 91.16

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.