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Finding the Fourth Proportional to 171.80, 237.12 and 109.70

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Solution

The fourth proportional to 171.80, 237.12 and 109.70 is: 151.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.80 : 237.12 = 109.70 : x
  2. Step 2: Convert to fraction form
    171.80/237.12 = 109.70/x
  3. Step 3: Cross multiply
    171.80x = 237.12 × 109.70
  4. Step 4: Simplify right side
    171.80x = 26,010.88
  5. Step 5: Solve for x
    x = 26,010.88/171.80
  6. Step 6: Final answer
    x = 151.41

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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.