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Finding the Fourth Proportional to 171.68, 236.90 and 106.19

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Solution

The fourth proportional to 171.68, 236.90 and 106.19 is: 146.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.68 : 236.90 = 106.19 : x
  2. Step 2: Convert to fraction form
    171.68/236.90 = 106.19/x
  3. Step 3: Cross multiply
    171.68x = 236.90 × 106.19
  4. Step 4: Simplify right side
    171.68x = 25,156.38
  5. Step 5: Solve for x
    x = 25,156.38/171.68
  6. Step 6: Final answer
    x = 146.53

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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.