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Finding the Fourth Proportional to 132.64, 198.86 and 45.97

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Solution

The fourth proportional to 132.64, 198.86 and 45.97 is: 68.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.64 : 198.86 = 45.97 : x
  2. Step 2: Convert to fraction form
    132.64/198.86 = 45.97/x
  3. Step 3: Cross multiply
    132.64x = 198.86 × 45.97
  4. Step 4: Simplify right side
    132.64x = 9,140.87
  5. Step 5: Solve for x
    x = 9,140.87/132.64
  6. Step 6: Final answer
    x = 68.92

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Why These Related Problems?

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