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Finding the Fourth Proportional to 154.24, 212.84 and 96

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Solution

The fourth proportional to 154.24, 212.84 and 96 is: 132.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.24 : 212.84 = 96 : x
  2. Step 2: Convert to fraction form
    154.24/212.84 = 96/x
  3. Step 3: Cross multiply
    154.24x = 212.84 × 96
  4. Step 4: Simplify right side
    154.24x = 20,432.64
  5. Step 5: Solve for x
    x = 20,432.64/154.24
  6. Step 6: Final answer
    x = 132.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.