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Finding the Fourth Proportional to 169.22, 253.92 and 97.22

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Solution

The fourth proportional to 169.22, 253.92 and 97.22 is: 145.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.22 : 253.92 = 97.22 : x
  2. Step 2: Convert to fraction form
    169.22/253.92 = 97.22/x
  3. Step 3: Cross multiply
    169.22x = 253.92 × 97.22
  4. Step 4: Simplify right side
    169.22x = 24,686.10
  5. Step 5: Solve for x
    x = 24,686.10/169.22
  6. Step 6: Final answer
    x = 145.88

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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.