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Finding the Fourth Proportional to 52.31, 72.29 and 47.39

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Solution

The fourth proportional to 52.31, 72.29 and 47.39 is: 65.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.31 : 72.29 = 47.39 : x
  2. Step 2: Convert to fraction form
    52.31/72.29 = 47.39/x
  3. Step 3: Cross multiply
    52.31x = 72.29 × 47.39
  4. Step 4: Simplify right side
    52.31x = 3,425.58
  5. Step 5: Solve for x
    x = 3,425.58/52.31
  6. Step 6: Final answer
    x = 65.48

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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.