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Finding the Fourth Proportional to 170.42, 235.11 and 108.14

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Solution

The fourth proportional to 170.42, 235.11 and 108.14 is: 149.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.42 : 235.11 = 108.14 : x
  2. Step 2: Convert to fraction form
    170.42/235.11 = 108.14/x
  3. Step 3: Cross multiply
    170.42x = 235.11 × 108.14
  4. Step 4: Simplify right side
    170.42x = 25,424.80
  5. Step 5: Solve for x
    x = 25,424.80/170.42
  6. Step 6: Final answer
    x = 149.19

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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.