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Finding the Fourth Proportional to 154.95, 232.32 and 77.82

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Solution

The fourth proportional to 154.95, 232.32 and 77.82 is: 116.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.95 : 232.32 = 77.82 : x
  2. Step 2: Convert to fraction form
    154.95/232.32 = 77.82/x
  3. Step 3: Cross multiply
    154.95x = 232.32 × 77.82
  4. Step 4: Simplify right side
    154.95x = 18,079.14
  5. Step 5: Solve for x
    x = 18,079.14/154.95
  6. Step 6: Final answer
    x = 116.68

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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.