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Finding the Fourth Proportional to 158.92, 219.34 and 100.66

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Solution

The fourth proportional to 158.92, 219.34 and 100.66 is: 138.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.92 : 219.34 = 100.66 : x
  2. Step 2: Convert to fraction form
    158.92/219.34 = 100.66/x
  3. Step 3: Cross multiply
    158.92x = 219.34 × 100.66
  4. Step 4: Simplify right side
    158.92x = 22,078.76
  5. Step 5: Solve for x
    x = 22,078.76/158.92
  6. Step 6: Final answer
    x = 138.93

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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.