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Finding the Fourth Proportional to 154.40, 213.08 and 96.16

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Solution

The fourth proportional to 154.40, 213.08 and 96.16 is: 132.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.40 : 213.08 = 96.16 : x
  2. Step 2: Convert to fraction form
    154.40/213.08 = 96.16/x
  3. Step 3: Cross multiply
    154.40x = 213.08 × 96.16
  4. Step 4: Simplify right side
    154.40x = 20,489.77
  5. Step 5: Solve for x
    x = 20,489.77/154.40
  6. Step 6: Final answer
    x = 132.71

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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.