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Finding the Fourth Proportional to 154.68, 213.46 and 84.74

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Solution

The fourth proportional to 154.68, 213.46 and 84.74 is: 116.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.68 : 213.46 = 84.74 : x
  2. Step 2: Convert to fraction form
    154.68/213.46 = 84.74/x
  3. Step 3: Cross multiply
    154.68x = 213.46 × 84.74
  4. Step 4: Simplify right side
    154.68x = 18,089.35
  5. Step 5: Solve for x
    x = 18,089.35/154.68
  6. Step 6: Final answer
    x = 116.95

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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.