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Finding the Fourth Proportional to 125.64, 172.96 and 108.38

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Solution

The fourth proportional to 125.64, 172.96 and 108.38 is: 149.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.64 : 172.96 = 108.38 : x
  2. Step 2: Convert to fraction form
    125.64/172.96 = 108.38/x
  3. Step 3: Cross multiply
    125.64x = 172.96 × 108.38
  4. Step 4: Simplify right side
    125.64x = 18,745.57
  5. Step 5: Solve for x
    x = 18,745.57/125.64
  6. Step 6: Final answer
    x = 149.20

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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.