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Finding the Fourth Proportional to 51.71, 77.42 and 42.06

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Solution

The fourth proportional to 51.71, 77.42 and 42.06 is: 62.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.71 : 77.42 = 42.06 : x
  2. Step 2: Convert to fraction form
    51.71/77.42 = 42.06/x
  3. Step 3: Cross multiply
    51.71x = 77.42 × 42.06
  4. Step 4: Simplify right side
    51.71x = 3,256.29
  5. Step 5: Solve for x
    x = 3,256.29/51.71
  6. Step 6: Final answer
    x = 62.97

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Why These Related Problems?

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