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Finding the Fourth Proportional to 132.80, 183.52 and 100.00

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Solution

The fourth proportional to 132.80, 183.52 and 100.00 is: 138.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.80 : 183.52 = 100.00 : x
  2. Step 2: Convert to fraction form
    132.80/183.52 = 100.00/x
  3. Step 3: Cross multiply
    132.80x = 183.52 × 100.00
  4. Step 4: Simplify right side
    132.80x = 18,350.58
  5. Step 5: Solve for x
    x = 18,350.58/132.80
  6. Step 6: Final answer
    x = 138.18

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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.