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Finding the Fourth Proportional to 132.83, 183.41 and 100.02

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Solution

The fourth proportional to 132.83, 183.41 and 100.02 is: 138.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.83 : 183.41 = 100.02 : x
  2. Step 2: Convert to fraction form
    132.83/183.41 = 100.02/x
  3. Step 3: Cross multiply
    132.83x = 183.41 × 100.02
  4. Step 4: Simplify right side
    132.83x = 18,344.17
  5. Step 5: Solve for x
    x = 18,344.17/132.83
  6. Step 6: Final answer
    x = 138.11

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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.