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Finding the Fourth Proportional to 126, 188.33 and 98.82

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Solution

The fourth proportional to 126, 188.33 and 98.82 is: 147.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    126 : 188.33 = 98.82 : x
  2. Step 2: Convert to fraction form
    126/188.33 = 98.82/x
  3. Step 3: Cross multiply
    126x = 188.33 × 98.82
  4. Step 4: Simplify right side
    126x = 18,610.28
  5. Step 5: Solve for x
    x = 18,610.28/126
  6. Step 6: Final answer
    x = 147.70

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.