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Finding the Fourth Proportional to 42.38, 58.49 and 37.79

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Solution

The fourth proportional to 42.38, 58.49 and 37.79 is: 52.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.38 : 58.49 = 37.79 : x
  2. Step 2: Convert to fraction form
    42.38/58.49 = 37.79/x
  3. Step 3: Cross multiply
    42.38x = 58.49 × 37.79
  4. Step 4: Simplify right side
    42.38x = 2,210.34
  5. Step 5: Solve for x
    x = 2,210.34/42.38
  6. Step 6: Final answer
    x = 52.16

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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.