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Finding the Fourth Proportional to 40.16, 54.98 and 39.62

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Solution

The fourth proportional to 40.16, 54.98 and 39.62 is: 54.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.16 : 54.98 = 39.62 : x
  2. Step 2: Convert to fraction form
    40.16/54.98 = 39.62/x
  3. Step 3: Cross multiply
    40.16x = 54.98 × 39.62
  4. Step 4: Simplify right side
    40.16x = 2,177.83
  5. Step 5: Solve for x
    x = 2,177.83/40.16
  6. Step 6: Final answer
    x = 54.24

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.