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Finding the Fourth Proportional to 132.84, 200.07 and 121.78

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Solution

The fourth proportional to 132.84, 200.07 and 121.78 is: 183.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.84 : 200.07 = 121.78 : x
  2. Step 2: Convert to fraction form
    132.84/200.07 = 121.78/x
  3. Step 3: Cross multiply
    132.84x = 200.07 × 121.78
  4. Step 4: Simplify right side
    132.84x = 24,364.52
  5. Step 5: Solve for x
    x = 24,364.52/132.84
  6. Step 6: Final answer
    x = 183.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.