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Finding the Fourth Proportional to 45.38, 62.42 and 42.08

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Solution

The fourth proportional to 45.38, 62.42 and 42.08 is: 57.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.38 : 62.42 = 42.08 : x
  2. Step 2: Convert to fraction form
    45.38/62.42 = 42.08/x
  3. Step 3: Cross multiply
    45.38x = 62.42 × 42.08
  4. Step 4: Simplify right side
    45.38x = 2,626.11
  5. Step 5: Solve for x
    x = 2,626.11/45.38
  6. Step 6: Final answer
    x = 57.88

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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.