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Finding the Fourth Proportional to 125.33, 186.77 and 121.20

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Solution

The fourth proportional to 125.33, 186.77 and 121.20 is: 180.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.33 : 186.77 = 121.20 : x
  2. Step 2: Convert to fraction form
    125.33/186.77 = 121.20/x
  3. Step 3: Cross multiply
    125.33x = 186.77 × 121.20
  4. Step 4: Simplify right side
    125.33x = 22,636.31
  5. Step 5: Solve for x
    x = 22,636.31/125.33
  6. Step 6: Final answer
    x = 180.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.