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Finding the Fourth Proportional to 40.11, 59.75 and 38.66

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Solution

The fourth proportional to 40.11, 59.75 and 38.66 is: 57.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.11 : 59.75 = 38.66 : x
  2. Step 2: Convert to fraction form
    40.11/59.75 = 38.66/x
  3. Step 3: Cross multiply
    40.11x = 59.75 × 38.66
  4. Step 4: Simplify right side
    40.11x = 2,309.44
  5. Step 5: Solve for x
    x = 2,309.44/40.11
  6. Step 6: Final answer
    x = 57.58

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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.