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Finding the Fourth Proportional to 112.85, 170.14 and 105.02

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Solution

The fourth proportional to 112.85, 170.14 and 105.02 is: 158.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.85 : 170.14 = 105.02 : x
  2. Step 2: Convert to fraction form
    112.85/170.14 = 105.02/x
  3. Step 3: Cross multiply
    112.85x = 170.14 × 105.02
  4. Step 4: Simplify right side
    112.85x = 17,868.27
  5. Step 5: Solve for x
    x = 17,868.27/112.85
  6. Step 6: Final answer
    x = 158.33

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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.