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Finding the Fourth Proportional to 42.47, 58.54 and 32.12

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Solution

The fourth proportional to 42.47, 58.54 and 32.12 is: 44.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.47 : 58.54 = 32.12 : x
  2. Step 2: Convert to fraction form
    42.47/58.54 = 32.12/x
  3. Step 3: Cross multiply
    42.47x = 58.54 × 32.12
  4. Step 4: Simplify right side
    42.47x = 1,879.93
  5. Step 5: Solve for x
    x = 1,879.93/42.47
  6. Step 6: Final answer
    x = 44.27

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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.