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Finding the Fourth Proportional to 148.78, 205.22 and 101.59

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Solution

The fourth proportional to 148.78, 205.22 and 101.59 is: 140.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.78 : 205.22 = 101.59 : x
  2. Step 2: Convert to fraction form
    148.78/205.22 = 101.59/x
  3. Step 3: Cross multiply
    148.78x = 205.22 × 101.59
  4. Step 4: Simplify right side
    148.78x = 20,849.20
  5. Step 5: Solve for x
    x = 20,849.20/148.78
  6. Step 6: Final answer
    x = 140.14

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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.