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Finding the Fourth Proportional to 40.32, 60.14 and 36.30

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Solution

The fourth proportional to 40.32, 60.14 and 36.30 is: 54.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.32 : 60.14 = 36.30 : x
  2. Step 2: Convert to fraction form
    40.32/60.14 = 36.30/x
  3. Step 3: Cross multiply
    40.32x = 60.14 × 36.30
  4. Step 4: Simplify right side
    40.32x = 2,183.08
  5. Step 5: Solve for x
    x = 2,183.08/40.32
  6. Step 6: Final answer
    x = 54.14

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Why These Related Problems?

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