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Finding the Fourth Proportional to 159.69, 220.42 and 100.69

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Solution

The fourth proportional to 159.69, 220.42 and 100.69 is: 138.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.69 : 220.42 = 100.69 : x
  2. Step 2: Convert to fraction form
    159.69/220.42 = 100.69/x
  3. Step 3: Cross multiply
    159.69x = 220.42 × 100.69
  4. Step 4: Simplify right side
    159.69x = 22,193.29
  5. Step 5: Solve for x
    x = 22,193.29/159.69
  6. Step 6: Final answer
    x = 138.98

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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.