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Finding the Fourth Proportional to 159.17, 219.59 and 100.13

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Solution

The fourth proportional to 159.17, 219.59 and 100.13 is: 138.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.17 : 219.59 = 100.13 : x
  2. Step 2: Convert to fraction form
    159.17/219.59 = 100.13/x
  3. Step 3: Cross multiply
    159.17x = 219.59 × 100.13
  4. Step 4: Simplify right side
    159.17x = 21,987.15
  5. Step 5: Solve for x
    x = 21,987.15/159.17
  6. Step 6: Final answer
    x = 138.14

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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.