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Finding the Fourth Proportional to 125.64, 173.60 and 109.23

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Solution

The fourth proportional to 125.64, 173.60 and 109.23 is: 150.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.64 : 173.60 = 109.23 : x
  2. Step 2: Convert to fraction form
    125.64/173.60 = 109.23/x
  3. Step 3: Cross multiply
    125.64x = 173.60 × 109.23
  4. Step 4: Simplify right side
    125.64x = 18,961.78
  5. Step 5: Solve for x
    x = 18,961.78/125.64
  6. Step 6: Final answer
    x = 150.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.