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Finding the Fourth Proportional to 132.09, 198.16 and 40.77

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Solution

The fourth proportional to 132.09, 198.16 and 40.77 is: 61.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.09 : 198.16 = 40.77 : x
  2. Step 2: Convert to fraction form
    132.09/198.16 = 40.77/x
  3. Step 3: Cross multiply
    132.09x = 198.16 × 40.77
  4. Step 4: Simplify right side
    132.09x = 8,079.58
  5. Step 5: Solve for x
    x = 8,079.58/132.09
  6. Step 6: Final answer
    x = 61.17

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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.