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Finding the Fourth Proportional to 132.64, 198.76 and 78.36

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Solution

The fourth proportional to 132.64, 198.76 and 78.36 is: 117.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.64 : 198.76 = 78.36 : x
  2. Step 2: Convert to fraction form
    132.64/198.76 = 78.36/x
  3. Step 3: Cross multiply
    132.64x = 198.76 × 78.36
  4. Step 4: Simplify right side
    132.64x = 15,574.83
  5. Step 5: Solve for x
    x = 15,574.83/132.64
  6. Step 6: Final answer
    x = 117.42

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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.