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Finding the Fourth Proportional to 41.32, 56.66 and 39.88

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Solution

The fourth proportional to 41.32, 56.66 and 39.88 is: 54.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.32 : 56.66 = 39.88 : x
  2. Step 2: Convert to fraction form
    41.32/56.66 = 39.88/x
  3. Step 3: Cross multiply
    41.32x = 56.66 × 39.88
  4. Step 4: Simplify right side
    41.32x = 2,259.55
  5. Step 5: Solve for x
    x = 2,259.55/41.32
  6. Step 6: Final answer
    x = 54.68

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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.