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Finding the Fourth Proportional to 48.03, 71.96 and 40.43

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Solution

The fourth proportional to 48.03, 71.96 and 40.43 is: 60.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.03 : 71.96 = 40.43 : x
  2. Step 2: Convert to fraction form
    48.03/71.96 = 40.43/x
  3. Step 3: Cross multiply
    48.03x = 71.96 × 40.43
  4. Step 4: Simplify right side
    48.03x = 2,908.78
  5. Step 5: Solve for x
    x = 2,908.78/48.03
  6. Step 6: Final answer
    x = 60.56

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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.