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Finding the Fourth Proportional to 42.25, 58.34 and 31.92

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Solution

The fourth proportional to 42.25, 58.34 and 31.92 is: 44.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.25 : 58.34 = 31.92 : x
  2. Step 2: Convert to fraction form
    42.25/58.34 = 31.92/x
  3. Step 3: Cross multiply
    42.25x = 58.34 × 31.92
  4. Step 4: Simplify right side
    42.25x = 1,862.21
  5. Step 5: Solve for x
    x = 1,862.21/42.25
  6. Step 6: Final answer
    x = 44.08

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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.