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Finding the Fourth Proportional to 125.48, 188.22 and 122.06

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Solution

The fourth proportional to 125.48, 188.22 and 122.06 is: 183.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.48 : 188.22 = 122.06 : x
  2. Step 2: Convert to fraction form
    125.48/188.22 = 122.06/x
  3. Step 3: Cross multiply
    125.48x = 188.22 × 122.06
  4. Step 4: Simplify right side
    125.48x = 22,974.60
  5. Step 5: Solve for x
    x = 22,974.60/125.48
  6. Step 6: Final answer
    x = 183.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.