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Finding the Fourth Proportional to 40.96, 61.12 and 38.08

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Solution

The fourth proportional to 40.96, 61.12 and 38.08 is: 56.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.96 : 61.12 = 38.08 : x
  2. Step 2: Convert to fraction form
    40.96/61.12 = 38.08/x
  3. Step 3: Cross multiply
    40.96x = 61.12 × 38.08
  4. Step 4: Simplify right side
    40.96x = 2,327.45
  5. Step 5: Solve for x
    x = 2,327.45/40.96
  6. Step 6: Final answer
    x = 56.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.