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Finding the Fourth Proportional to 148.56, 205.12 and 99.52

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Solution

The fourth proportional to 148.56, 205.12 and 99.52 is: 137.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.56 : 205.12 = 99.52 : x
  2. Step 2: Convert to fraction form
    148.56/205.12 = 99.52/x
  3. Step 3: Cross multiply
    148.56x = 205.12 × 99.52
  4. Step 4: Simplify right side
    148.56x = 20,413.54
  5. Step 5: Solve for x
    x = 20,413.54/148.56
  6. Step 6: Final answer
    x = 137.41

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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.