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Finding the Fourth Proportional to 125.08, 185.94 and 121.44

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Solution

The fourth proportional to 125.08, 185.94 and 121.44 is: 180.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.08 : 185.94 = 121.44 : x
  2. Step 2: Convert to fraction form
    125.08/185.94 = 121.44/x
  3. Step 3: Cross multiply
    125.08x = 185.94 × 121.44
  4. Step 4: Simplify right side
    125.08x = 22,580.55
  5. Step 5: Solve for x
    x = 22,580.55/125.08
  6. Step 6: Final answer
    x = 180.53

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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.