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Finding the Fourth Proportional to 168.59, 252.95 and 100.14

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Solution

The fourth proportional to 168.59, 252.95 and 100.14 is: 150.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.59 : 252.95 = 100.14 : x
  2. Step 2: Convert to fraction form
    168.59/252.95 = 100.14/x
  3. Step 3: Cross multiply
    168.59x = 252.95 × 100.14
  4. Step 4: Simplify right side
    168.59x = 25,329.91
  5. Step 5: Solve for x
    x = 25,329.91/168.59
  6. Step 6: Final answer
    x = 150.25

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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.