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Finding the Fourth Proportional to 132.81, 199.28 and 78.81

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Solution

The fourth proportional to 132.81, 199.28 and 78.81 is: 118.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.81 : 199.28 = 78.81 : x
  2. Step 2: Convert to fraction form
    132.81/199.28 = 78.81/x
  3. Step 3: Cross multiply
    132.81x = 199.28 × 78.81
  4. Step 4: Simplify right side
    132.81x = 15,705.26
  5. Step 5: Solve for x
    x = 15,705.26/132.81
  6. Step 6: Final answer
    x = 118.25

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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.