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Finding the Fourth Proportional to 148.52, 205.02 and 101.96

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Solution

The fourth proportional to 148.52, 205.02 and 101.96 is: 140.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.52 : 205.02 = 101.96 : x
  2. Step 2: Convert to fraction form
    148.52/205.02 = 101.96/x
  3. Step 3: Cross multiply
    148.52x = 205.02 × 101.96
  4. Step 4: Simplify right side
    148.52x = 20,903.84
  5. Step 5: Solve for x
    x = 20,903.84/148.52
  6. Step 6: Final answer
    x = 140.75

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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.