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Finding the Fourth Proportional to 51.71, 71.35 and 37.13

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Solution

The fourth proportional to 51.71, 71.35 and 37.13 is: 51.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.71 : 71.35 = 37.13 : x
  2. Step 2: Convert to fraction form
    51.71/71.35 = 37.13/x
  3. Step 3: Cross multiply
    51.71x = 71.35 × 37.13
  4. Step 4: Simplify right side
    51.71x = 2,648.78
  5. Step 5: Solve for x
    x = 2,648.78/51.71
  6. Step 6: Final answer
    x = 51.23

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Why These Related Problems?

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