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Finding the Fourth Proportional to 42.00, 57.92 and 32.16

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Solution

The fourth proportional to 42.00, 57.92 and 32.16 is: 44.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.00 : 57.92 = 32.16 : x
  2. Step 2: Convert to fraction form
    42.00/57.92 = 32.16/x
  3. Step 3: Cross multiply
    42.00x = 57.92 × 32.16
  4. Step 4: Simplify right side
    42.00x = 1,862.80
  5. Step 5: Solve for x
    x = 1,862.80/42.00
  6. Step 6: Final answer
    x = 44.35

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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.