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Finding the Fourth Proportional to 154.34, 212.94 and 96.15

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Solution

The fourth proportional to 154.34, 212.94 and 96.15 is: 132.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.34 : 212.94 = 96.15 : x
  2. Step 2: Convert to fraction form
    154.34/212.94 = 96.15/x
  3. Step 3: Cross multiply
    154.34x = 212.94 × 96.15
  4. Step 4: Simplify right side
    154.34x = 20,474.18
  5. Step 5: Solve for x
    x = 20,474.18/154.34
  6. Step 6: Final answer
    x = 132.66

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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.