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Finding the Fourth Proportional to 154.52, 231.88 and 67.90

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Solution

The fourth proportional to 154.52, 231.88 and 67.90 is: 101.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.52 : 231.88 = 67.90 : x
  2. Step 2: Convert to fraction form
    154.52/231.88 = 67.90/x
  3. Step 3: Cross multiply
    154.52x = 231.88 × 67.90
  4. Step 4: Simplify right side
    154.52x = 15,744.65
  5. Step 5: Solve for x
    x = 15,744.65/154.52
  6. Step 6: Final answer
    x = 101.89

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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.