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Finding the Fourth Proportional to 42.29, 58.34 and 27.71

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Solution

The fourth proportional to 42.29, 58.34 and 27.71 is: 38.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.29 : 58.34 = 27.71 : x
  2. Step 2: Convert to fraction form
    42.29/58.34 = 27.71/x
  3. Step 3: Cross multiply
    42.29x = 58.34 × 27.71
  4. Step 4: Simplify right side
    42.29x = 1,616.46
  5. Step 5: Solve for x
    x = 1,616.46/42.29
  6. Step 6: Final answer
    x = 38.22

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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.