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Finding the Fourth Proportional to 170.44, 235.12 and 112.22

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Solution

The fourth proportional to 170.44, 235.12 and 112.22 is: 154.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.44 : 235.12 = 112.22 : x
  2. Step 2: Convert to fraction form
    170.44/235.12 = 112.22/x
  3. Step 3: Cross multiply
    170.44x = 235.12 × 112.22
  4. Step 4: Simplify right side
    170.44x = 26,385.17
  5. Step 5: Solve for x
    x = 26,385.17/170.44
  6. Step 6: Final answer
    x = 154.81

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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.