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Finding the Fourth Proportional to 159.69, 220.47 and 100.76

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Solution

The fourth proportional to 159.69, 220.47 and 100.76 is: 139.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.69 : 220.47 = 100.76 : x
  2. Step 2: Convert to fraction form
    159.69/220.47 = 100.76/x
  3. Step 3: Cross multiply
    159.69x = 220.47 × 100.76
  4. Step 4: Simplify right side
    159.69x = 22,213.64
  5. Step 5: Solve for x
    x = 22,213.64/159.69
  6. Step 6: Final answer
    x = 139.11

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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.