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Finding the Fourth Proportional to 48.38, 72.82 and 37.02

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Solution

The fourth proportional to 48.38, 72.82 and 37.02 is: 55.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.38 : 72.82 = 37.02 : x
  2. Step 2: Convert to fraction form
    48.38/72.82 = 37.02/x
  3. Step 3: Cross multiply
    48.38x = 72.82 × 37.02
  4. Step 4: Simplify right side
    48.38x = 2,695.80
  5. Step 5: Solve for x
    x = 2,695.80/48.38
  6. Step 6: Final answer
    x = 55.72

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.