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Finding the Fourth Proportional to 148.75, 205.12 and 100.74

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Solution

The fourth proportional to 148.75, 205.12 and 100.74 is: 138.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.75 : 205.12 = 100.74 : x
  2. Step 2: Convert to fraction form
    148.75/205.12 = 100.74/x
  3. Step 3: Cross multiply
    148.75x = 205.12 × 100.74
  4. Step 4: Simplify right side
    148.75x = 20,663.54
  5. Step 5: Solve for x
    x = 20,663.54/148.75
  6. Step 6: Final answer
    x = 138.92

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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.