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Finding the Fourth Proportional to 102.20, 152.91 and 67.86

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Solution

The fourth proportional to 102.20, 152.91 and 67.86 is: 101.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.20 : 152.91 = 67.86 : x
  2. Step 2: Convert to fraction form
    102.20/152.91 = 67.86/x
  3. Step 3: Cross multiply
    102.20x = 152.91 × 67.86
  4. Step 4: Simplify right side
    102.20x = 10,376.47
  5. Step 5: Solve for x
    x = 10,376.47/102.20
  6. Step 6: Final answer
    x = 101.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.