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Finding the Fourth Proportional to 42.24, 58.20 and 31.26

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Solution

The fourth proportional to 42.24, 58.20 and 31.26 is: 43.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.24 : 58.20 = 31.26 : x
  2. Step 2: Convert to fraction form
    42.24/58.20 = 31.26/x
  3. Step 3: Cross multiply
    42.24x = 58.20 × 31.26
  4. Step 4: Simplify right side
    42.24x = 1,819.33
  5. Step 5: Solve for x
    x = 1,819.33/42.24
  6. Step 6: Final answer
    x = 43.07

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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.