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Finding the Fourth Proportional to 159.16, 219.54 and 100.15

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Solution

The fourth proportional to 159.16, 219.54 and 100.15 is: 138.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.16 : 219.54 = 100.15 : x
  2. Step 2: Convert to fraction form
    159.16/219.54 = 100.15/x
  3. Step 3: Cross multiply
    159.16x = 219.54 × 100.15
  4. Step 4: Simplify right side
    159.16x = 21,986.93
  5. Step 5: Solve for x
    x = 21,986.93/159.16
  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.