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Finding the Fourth Proportional to 170.48, 235.15 and 112.27

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Solution

The fourth proportional to 170.48, 235.15 and 112.27 is: 154.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.48 : 235.15 = 112.27 : x
  2. Step 2: Convert to fraction form
    170.48/235.15 = 112.27/x
  3. Step 3: Cross multiply
    170.48x = 235.15 × 112.27
  4. Step 4: Simplify right side
    170.48x = 26,400.29
  5. Step 5: Solve for x
    x = 26,400.29/170.48
  6. Step 6: Final answer
    x = 154.86

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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.