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Finding the Fourth Proportional to 169.34, 253.96 and 97.16

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Solution

The fourth proportional to 169.34, 253.96 and 97.16 is: 145.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.34 : 253.96 = 97.16 : x
  2. Step 2: Convert to fraction form
    169.34/253.96 = 97.16/x
  3. Step 3: Cross multiply
    169.34x = 253.96 × 97.16
  4. Step 4: Simplify right side
    169.34x = 24,673.24
  5. Step 5: Solve for x
    x = 24,673.24/169.34
  6. Step 6: Final answer
    x = 145.71

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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.