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Finding the Fourth Proportional to 125.08, 188 and 120.24

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Solution

The fourth proportional to 125.08, 188 and 120.24 is: 180.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.08 : 188 = 120.24 : x
  2. Step 2: Convert to fraction form
    125.08/188 = 120.24/x
  3. Step 3: Cross multiply
    125.08x = 188 × 120.24
  4. Step 4: Simplify right side
    125.08x = 22,605.12
  5. Step 5: Solve for x
    x = 22,605.12/125.08
  6. Step 6: Final answer
    x = 180.73

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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.