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Finding the Fourth Proportional to 42.38, 58.22 and 34.16

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Solution

The fourth proportional to 42.38, 58.22 and 34.16 is: 46.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.38 : 58.22 = 34.16 : x
  2. Step 2: Convert to fraction form
    42.38/58.22 = 34.16/x
  3. Step 3: Cross multiply
    42.38x = 58.22 × 34.16
  4. Step 4: Simplify right side
    42.38x = 1,988.80
  5. Step 5: Solve for x
    x = 1,988.80/42.38
  6. Step 6: Final answer
    x = 46.93

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.