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Finding the Fourth Proportional to 42.08, 62.78 and 40.76

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Solution

The fourth proportional to 42.08, 62.78 and 40.76 is: 60.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.08 : 62.78 = 40.76 : x
  2. Step 2: Convert to fraction form
    42.08/62.78 = 40.76/x
  3. Step 3: Cross multiply
    42.08x = 62.78 × 40.76
  4. Step 4: Simplify right side
    42.08x = 2,558.91
  5. Step 5: Solve for x
    x = 2,558.91/42.08
  6. Step 6: Final answer
    x = 60.81

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