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Finding the Fourth Proportional to 52.43, 72.39 and 37.88

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Solution

The fourth proportional to 52.43, 72.39 and 37.88 is: 52.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.43 : 72.39 = 37.88 : x
  2. Step 2: Convert to fraction form
    52.43/72.39 = 37.88/x
  3. Step 3: Cross multiply
    52.43x = 72.39 × 37.88
  4. Step 4: Simplify right side
    52.43x = 2,741.77
  5. Step 5: Solve for x
    x = 2,741.77/52.43
  6. Step 6: Final answer
    x = 52.30

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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.