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Finding the Fourth Proportional to 159.84, 220.50 and 97.66

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Solution

The fourth proportional to 159.84, 220.50 and 97.66 is: 134.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.84 : 220.50 = 97.66 : x
  2. Step 2: Convert to fraction form
    159.84/220.50 = 97.66/x
  3. Step 3: Cross multiply
    159.84x = 220.50 × 97.66
  4. Step 4: Simplify right side
    159.84x = 21,534.03
  5. Step 5: Solve for x
    x = 21,534.03/159.84
  6. Step 6: Final answer
    x = 134.72

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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.