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Finding the Fourth Proportional to 171.80, 237.08 and 94.17

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Solution

The fourth proportional to 171.80, 237.08 and 94.17 is: 129.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.80 : 237.08 = 94.17 : x
  2. Step 2: Convert to fraction form
    171.80/237.08 = 94.17/x
  3. Step 3: Cross multiply
    171.80x = 237.08 × 94.17
  4. Step 4: Simplify right side
    171.80x = 22,325.82
  5. Step 5: Solve for x
    x = 22,325.82/171.80
  6. Step 6: Final answer
    x = 129.96

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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.