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Finding the Fourth Proportional to 43.72, 60.24 and 36.40

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Solution

The fourth proportional to 43.72, 60.24 and 36.40 is: 50.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.72 : 60.24 = 36.40 : x
  2. Step 2: Convert to fraction form
    43.72/60.24 = 36.40/x
  3. Step 3: Cross multiply
    43.72x = 60.24 × 36.40
  4. Step 4: Simplify right side
    43.72x = 2,192.74
  5. Step 5: Solve for x
    x = 2,192.74/43.72
  6. Step 6: Final answer
    x = 50.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.