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Finding the Fourth Proportional to 159.58, 220.23 and 97.48

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Solution

The fourth proportional to 159.58, 220.23 and 97.48 is: 134.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.58 : 220.23 = 97.48 : x
  2. Step 2: Convert to fraction form
    159.58/220.23 = 97.48/x
  3. Step 3: Cross multiply
    159.58x = 220.23 × 97.48
  4. Step 4: Simplify right side
    159.58x = 21,468.02
  5. Step 5: Solve for x
    x = 21,468.02/159.58
  6. Step 6: Final answer
    x = 134.53

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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.