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Finding the Fourth Proportional to 159.96, 220.64 and 97.74

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Solution

The fourth proportional to 159.96, 220.64 and 97.74 is: 134.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.96 : 220.64 = 97.74 : x
  2. Step 2: Convert to fraction form
    159.96/220.64 = 97.74/x
  3. Step 3: Cross multiply
    159.96x = 220.64 × 97.74
  4. Step 4: Simplify right side
    159.96x = 21,565.35
  5. Step 5: Solve for x
    x = 21,565.35/159.96
  6. Step 6: Final answer
    x = 134.82

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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.