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Finding the Fourth Proportional to 103.24, 153.96 and 97.12

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Solution

The fourth proportional to 103.24, 153.96 and 97.12 is: 144.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.24 : 153.96 = 97.12 : x
  2. Step 2: Convert to fraction form
    103.24/153.96 = 97.12/x
  3. Step 3: Cross multiply
    103.24x = 153.96 × 97.12
  4. Step 4: Simplify right side
    103.24x = 14,952.60
  5. Step 5: Solve for x
    x = 14,952.60/103.24
  6. Step 6: Final answer
    x = 144.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.