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Finding the Fourth Proportional to 154.28, 231.21 and 67.53

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Solution

The fourth proportional to 154.28, 231.21 and 67.53 is: 101.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.28 : 231.21 = 67.53 : x
  2. Step 2: Convert to fraction form
    154.28/231.21 = 67.53/x
  3. Step 3: Cross multiply
    154.28x = 231.21 × 67.53
  4. Step 4: Simplify right side
    154.28x = 15,613.61
  5. Step 5: Solve for x
    x = 15,613.61/154.28
  6. Step 6: Final answer
    x = 101.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.