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Finding the Fourth Proportional to 168.78, 253.16 and 97.14

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Solution

The fourth proportional to 168.78, 253.16 and 97.14 is: 145.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.78 : 253.16 = 97.14 : x
  2. Step 2: Convert to fraction form
    168.78/253.16 = 97.14/x
  3. Step 3: Cross multiply
    168.78x = 253.16 × 97.14
  4. Step 4: Simplify right side
    168.78x = 24,591.96
  5. Step 5: Solve for x
    x = 24,591.96/168.78
  6. Step 6: Final answer
    x = 145.70

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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.