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Finding the Fourth Proportional to 102.08, 140.89 and 74.54

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Solution

The fourth proportional to 102.08, 140.89 and 74.54 is: 102.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.08 : 140.89 = 74.54 : x
  2. Step 2: Convert to fraction form
    102.08/140.89 = 74.54/x
  3. Step 3: Cross multiply
    102.08x = 140.89 × 74.54
  4. Step 4: Simplify right side
    102.08x = 10,501.57
  5. Step 5: Solve for x
    x = 10,501.57/102.08
  6. Step 6: Final answer
    x = 102.88

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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.