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Finding the Fourth Proportional to 71.42, 107.10 and 61.88

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Solution

The fourth proportional to 71.42, 107.10 and 61.88 is: 92.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.42 : 107.10 = 61.88 : x
  2. Step 2: Convert to fraction form
    71.42/107.10 = 61.88/x
  3. Step 3: Cross multiply
    71.42x = 107.10 × 61.88
  4. Step 4: Simplify right side
    71.42x = 6,626.81
  5. Step 5: Solve for x
    x = 6,626.81/71.42
  6. Step 6: Final answer
    x = 92.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.