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Finding the Fourth Proportional to 40.72, 60.80 and 36.16

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Solution

The fourth proportional to 40.72, 60.80 and 36.16 is: 53.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.72 : 60.80 = 36.16 : x
  2. Step 2: Convert to fraction form
    40.72/60.80 = 36.16/x
  3. Step 3: Cross multiply
    40.72x = 60.80 × 36.16
  4. Step 4: Simplify right side
    40.72x = 2,198.53
  5. Step 5: Solve for x
    x = 2,198.53/40.72
  6. Step 6: Final answer
    x = 53.99

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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.