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Finding the Fourth Proportional to 51.52, 71.14 and 32.14

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Solution

The fourth proportional to 51.52, 71.14 and 32.14 is: 44.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.52 : 71.14 = 32.14 : x
  2. Step 2: Convert to fraction form
    51.52/71.14 = 32.14/x
  3. Step 3: Cross multiply
    51.52x = 71.14 × 32.14
  4. Step 4: Simplify right side
    51.52x = 2,286.44
  5. Step 5: Solve for x
    x = 2,286.44/51.52
  6. Step 6: Final answer
    x = 44.38

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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.