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Finding the Fourth Proportional to 154.86, 213.70 and 84.92

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Solution

The fourth proportional to 154.86, 213.70 and 84.92 is: 117.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.86 : 213.70 = 84.92 : x
  2. Step 2: Convert to fraction form
    154.86/213.70 = 84.92/x
  3. Step 3: Cross multiply
    154.86x = 213.70 × 84.92
  4. Step 4: Simplify right side
    154.86x = 18,147.40
  5. Step 5: Solve for x
    x = 18,147.40/154.86
  6. Step 6: Final answer
    x = 117.19

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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.