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Finding the Fourth Proportional to 154.98, 232.38 and 77.88

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Solution

The fourth proportional to 154.98, 232.38 and 77.88 is: 116.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.98 : 232.38 = 77.88 : x
  2. Step 2: Convert to fraction form
    154.98/232.38 = 77.88/x
  3. Step 3: Cross multiply
    154.98x = 232.38 × 77.88
  4. Step 4: Simplify right side
    154.98x = 18,097.75
  5. Step 5: Solve for x
    x = 18,097.75/154.98
  6. Step 6: Final answer
    x = 116.77

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Why These Related Problems?

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