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Finding the Fourth Proportional to 154.97, 232.45 and 69.47

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Solution

The fourth proportional to 154.97, 232.45 and 69.47 is: 104.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.97 : 232.45 = 69.47 : x
  2. Step 2: Convert to fraction form
    154.97/232.45 = 69.47/x
  3. Step 3: Cross multiply
    154.97x = 232.45 × 69.47
  4. Step 4: Simplify right side
    154.97x = 16,148.23
  5. Step 5: Solve for x
    x = 16,148.23/154.97
  6. Step 6: Final answer
    x = 104.20

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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.