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Finding the Fourth Proportional to 132.19, 199.06 and 98.19

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Solution

The fourth proportional to 132.19, 199.06 and 98.19 is: 147.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.19 : 199.06 = 98.19 : x
  2. Step 2: Convert to fraction form
    132.19/199.06 = 98.19/x
  3. Step 3: Cross multiply
    132.19x = 199.06 × 98.19
  4. Step 4: Simplify right side
    132.19x = 19,545.21
  5. Step 5: Solve for x
    x = 19,545.21/132.19
  6. Step 6: Final answer
    x = 147.86

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.