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Finding the Fourth Proportional to 159.82, 220.26 and 116.08

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Solution

The fourth proportional to 159.82, 220.26 and 116.08 is: 159.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.82 : 220.26 = 116.08 : x
  2. Step 2: Convert to fraction form
    159.82/220.26 = 116.08/x
  3. Step 3: Cross multiply
    159.82x = 220.26 × 116.08
  4. Step 4: Simplify right side
    159.82x = 25,567.78
  5. Step 5: Solve for x
    x = 25,567.78/159.82
  6. Step 6: Final answer
    x = 159.98

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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.