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Finding the Fourth Proportional to 154.55, 213.27 and 84.61

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Solution

The fourth proportional to 154.55, 213.27 and 84.61 is: 116.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.55 : 213.27 = 84.61 : x
  2. Step 2: Convert to fraction form
    154.55/213.27 = 84.61/x
  3. Step 3: Cross multiply
    154.55x = 213.27 × 84.61
  4. Step 4: Simplify right side
    154.55x = 18,044.77
  5. Step 5: Solve for x
    x = 18,044.77/154.55
  6. Step 6: Final answer
    x = 116.76

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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.