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Finding the Fourth Proportional to 154.45, 213.10 and 117.55

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Solution

The fourth proportional to 154.45, 213.10 and 117.55 is: 162.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.45 : 213.10 = 117.55 : x
  2. Step 2: Convert to fraction form
    154.45/213.10 = 117.55/x
  3. Step 3: Cross multiply
    154.45x = 213.10 × 117.55
  4. Step 4: Simplify right side
    154.45x = 25,049.91
  5. Step 5: Solve for x
    x = 25,049.91/154.45
  6. Step 6: Final answer
    x = 162.19

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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.