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Finding the Fourth Proportional to 51.91, 71.66 and 42.71

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Solution

The fourth proportional to 51.91, 71.66 and 42.71 is: 58.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.91 : 71.66 = 42.71 : x
  2. Step 2: Convert to fraction form
    51.91/71.66 = 42.71/x
  3. Step 3: Cross multiply
    51.91x = 71.66 × 42.71
  4. Step 4: Simplify right side
    51.91x = 3,060.60
  5. Step 5: Solve for x
    x = 3,060.60/51.91
  6. Step 6: Final answer
    x = 58.96

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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.