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Finding the Fourth Proportional to 154.38, 213 and 96.14

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Solution

The fourth proportional to 154.38, 213 and 96.14 is: 132.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.38 : 213 = 96.14 : x
  2. Step 2: Convert to fraction form
    154.38/213 = 96.14/x
  3. Step 3: Cross multiply
    154.38x = 213 × 96.14
  4. Step 4: Simplify right side
    154.38x = 20,477.82
  5. Step 5: Solve for x
    x = 20,477.82/154.38
  6. Step 6: Final answer
    x = 132.65

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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.