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Finding the Fourth Proportional to 154.24, 231.20 and 93.48

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Solution

The fourth proportional to 154.24, 231.20 and 93.48 is: 140.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.24 : 231.20 = 93.48 : x
  2. Step 2: Convert to fraction form
    154.24/231.20 = 93.48/x
  3. Step 3: Cross multiply
    154.24x = 231.20 × 93.48
  4. Step 4: Simplify right side
    154.24x = 21,612.58
  5. Step 5: Solve for x
    x = 21,612.58/154.24
  6. Step 6: Final answer
    x = 140.12

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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.