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Finding the Fourth Proportional to 132.87, 183.35 and 83.78

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Solution

The fourth proportional to 132.87, 183.35 and 83.78 is: 115.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.87 : 183.35 = 83.78 : x
  2. Step 2: Convert to fraction form
    132.87/183.35 = 83.78/x
  3. Step 3: Cross multiply
    132.87x = 183.35 × 83.78
  4. Step 4: Simplify right side
    132.87x = 15,360.36
  5. Step 5: Solve for x
    x = 15,360.36/132.87
  6. Step 6: Final answer
    x = 115.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.