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Finding the Fourth Proportional to 105.82, 158.75 and 99.64

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Solution

The fourth proportional to 105.82, 158.75 and 99.64 is: 149.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.82 : 158.75 = 99.64 : x
  2. Step 2: Convert to fraction form
    105.82/158.75 = 99.64/x
  3. Step 3: Cross multiply
    105.82x = 158.75 × 99.64
  4. Step 4: Simplify right side
    105.82x = 15,817.85
  5. Step 5: Solve for x
    x = 15,817.85/105.82
  6. Step 6: Final answer
    x = 149.48

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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.