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Finding the Fourth Proportional to 159.23, 219.65 and 100.17

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Solution

The fourth proportional to 159.23, 219.65 and 100.17 is: 138.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.23 : 219.65 = 100.17 : x
  2. Step 2: Convert to fraction form
    159.23/219.65 = 100.17/x
  3. Step 3: Cross multiply
    159.23x = 219.65 × 100.17
  4. Step 4: Simplify right side
    159.23x = 22,001.84
  5. Step 5: Solve for x
    x = 22,001.84/159.23
  6. Step 6: Final answer
    x = 138.17

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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.