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Finding the Fourth Proportional to 48.03, 71.82 and 28.71

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Solution

The fourth proportional to 48.03, 71.82 and 28.71 is: 42.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.03 : 71.82 = 28.71 : x
  2. Step 2: Convert to fraction form
    48.03/71.82 = 28.71/x
  3. Step 3: Cross multiply
    48.03x = 71.82 × 28.71
  4. Step 4: Simplify right side
    48.03x = 2,061.95
  5. Step 5: Solve for x
    x = 2,061.95/48.03
  6. Step 6: Final answer
    x = 42.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.