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Finding the Fourth Proportional to 131.90, 198.68 and 121.87

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Solution

The fourth proportional to 131.90, 198.68 and 121.87 is: 183.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.90 : 198.68 = 121.87 : x
  2. Step 2: Convert to fraction form
    131.90/198.68 = 121.87/x
  3. Step 3: Cross multiply
    131.90x = 198.68 × 121.87
  4. Step 4: Simplify right side
    131.90x = 24,212.77
  5. Step 5: Solve for x
    x = 24,212.77/131.90
  6. Step 6: Final answer
    x = 183.58

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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.