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Finding the Fourth Proportional to 105.22, 158.08 and 99.70

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Solution

The fourth proportional to 105.22, 158.08 and 99.70 is: 149.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.22 : 158.08 = 99.70 : x
  2. Step 2: Convert to fraction form
    105.22/158.08 = 99.70/x
  3. Step 3: Cross multiply
    105.22x = 158.08 × 99.70
  4. Step 4: Simplify right side
    105.22x = 15,760.58
  5. Step 5: Solve for x
    x = 15,760.58/105.22
  6. Step 6: Final answer
    x = 149.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.