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Finding the Fourth Proportional to 148.46, 204.89 and 101.75

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Solution

The fourth proportional to 148.46, 204.89 and 101.75 is: 140.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.46 : 204.89 = 101.75 : x
  2. Step 2: Convert to fraction form
    148.46/204.89 = 101.75/x
  3. Step 3: Cross multiply
    148.46x = 204.89 × 101.75
  4. Step 4: Simplify right side
    148.46x = 20,846.02
  5. Step 5: Solve for x
    x = 20,846.02/148.46
  6. Step 6: Final answer
    x = 140.42

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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.