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Finding the Fourth Proportional to 159.68, 220.30 and 97.48

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Solution

The fourth proportional to 159.68, 220.30 and 97.48 is: 134.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.68 : 220.30 = 97.48 : x
  2. Step 2: Convert to fraction form
    159.68/220.30 = 97.48/x
  3. Step 3: Cross multiply
    159.68x = 220.30 × 97.48
  4. Step 4: Simplify right side
    159.68x = 21,474.84
  5. Step 5: Solve for x
    x = 21,474.84/159.68
  6. Step 6: Final answer
    x = 134.49

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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.