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Finding the Fourth Proportional to 112.79, 170.10 and 99.43

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Solution

The fourth proportional to 112.79, 170.10 and 99.43 is: 149.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.79 : 170.10 = 99.43 : x
  2. Step 2: Convert to fraction form
    112.79/170.10 = 99.43/x
  3. Step 3: Cross multiply
    112.79x = 170.10 × 99.43
  4. Step 4: Simplify right side
    112.79x = 16,912.62
  5. Step 5: Solve for x
    x = 16,912.62/112.79
  6. Step 6: Final answer
    x = 149.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.