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Finding the Fourth Proportional to 170.29, 235.07 and 104.82

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Solution

The fourth proportional to 170.29, 235.07 and 104.82 is: 144.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.29 : 235.07 = 104.82 : x
  2. Step 2: Convert to fraction form
    170.29/235.07 = 104.82/x
  3. Step 3: Cross multiply
    170.29x = 235.07 × 104.82
  4. Step 4: Simplify right side
    170.29x = 24,640.04
  5. Step 5: Solve for x
    x = 24,640.04/170.29
  6. Step 6: Final answer
    x = 144.69

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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.