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Finding the Fourth Proportional to 171.95, 237.29 and 102.02

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Solution

The fourth proportional to 171.95, 237.29 and 102.02 is: 140.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.95 : 237.29 = 102.02 : x
  2. Step 2: Convert to fraction form
    171.95/237.29 = 102.02/x
  3. Step 3: Cross multiply
    171.95x = 237.29 × 102.02
  4. Step 4: Simplify right side
    171.95x = 24,206.63
  5. Step 5: Solve for x
    x = 24,206.63/171.95
  6. Step 6: Final answer
    x = 140.78

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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.