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Finding the Fourth Proportional to 159.49, 220.03 and 97.30

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Solution

The fourth proportional to 159.49, 220.03 and 97.30 is: 134.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.49 : 220.03 = 97.30 : x
  2. Step 2: Convert to fraction form
    159.49/220.03 = 97.30/x
  3. Step 3: Cross multiply
    159.49x = 220.03 × 97.30
  4. Step 4: Simplify right side
    159.49x = 21,408.92
  5. Step 5: Solve for x
    x = 21,408.92/159.49
  6. Step 6: Final answer
    x = 134.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.