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Finding the Fourth Proportional to 148.68, 205.29 and 102.06

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Solution

The fourth proportional to 148.68, 205.29 and 102.06 is: 140.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.68 : 205.29 = 102.06 : x
  2. Step 2: Convert to fraction form
    148.68/205.29 = 102.06/x
  3. Step 3: Cross multiply
    148.68x = 205.29 × 102.06
  4. Step 4: Simplify right side
    148.68x = 20,951.90
  5. Step 5: Solve for x
    x = 20,951.90/148.68
  6. Step 6: Final answer
    x = 140.92

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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.