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Finding the Fourth Proportional to 132.40, 198.64 and 98.45

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Solution

The fourth proportional to 132.40, 198.64 and 98.45 is: 147.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.40 : 198.64 = 98.45 : x
  2. Step 2: Convert to fraction form
    132.40/198.64 = 98.45/x
  3. Step 3: Cross multiply
    132.40x = 198.64 × 98.45
  4. Step 4: Simplify right side
    132.40x = 19,555.11
  5. Step 5: Solve for x
    x = 19,555.11/132.40
  6. Step 6: Final answer
    x = 147.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.