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Finding the Fourth Proportional to 154.84, 232.24 and 111.71

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Solution

The fourth proportional to 154.84, 232.24 and 111.71 is: 167.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.84 : 232.24 = 111.71 : x
  2. Step 2: Convert to fraction form
    154.84/232.24 = 111.71/x
  3. Step 3: Cross multiply
    154.84x = 232.24 × 111.71
  4. Step 4: Simplify right side
    154.84x = 25,943.53
  5. Step 5: Solve for x
    x = 25,943.53/154.84
  6. Step 6: Final answer
    x = 167.55

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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.