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Finding the Fourth Proportional to 154.88, 232.33 and 52.15

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Solution

The fourth proportional to 154.88, 232.33 and 52.15 is: 78.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.88 : 232.33 = 52.15 : x
  2. Step 2: Convert to fraction form
    154.88/232.33 = 52.15/x
  3. Step 3: Cross multiply
    154.88x = 232.33 × 52.15
  4. Step 4: Simplify right side
    154.88x = 12,116.01
  5. Step 5: Solve for x
    x = 12,116.01/154.88
  6. Step 6: Final answer
    x = 78.23

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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.