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Finding the Fourth Proportional to 52.14, 71.87 and 33.71

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Solution

The fourth proportional to 52.14, 71.87 and 33.71 is: 46.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.14 : 71.87 = 33.71 : x
  2. Step 2: Convert to fraction form
    52.14/71.87 = 33.71/x
  3. Step 3: Cross multiply
    52.14x = 71.87 × 33.71
  4. Step 4: Simplify right side
    52.14x = 2,422.74
  5. Step 5: Solve for x
    x = 2,422.74/52.14
  6. Step 6: Final answer
    x = 46.47

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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.