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Finding the Fourth Proportional to 125.04, 172.56 and 75.96

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Solution

The fourth proportional to 125.04, 172.56 and 75.96 is: 104.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.04 : 172.56 = 75.96 : x
  2. Step 2: Convert to fraction form
    125.04/172.56 = 75.96/x
  3. Step 3: Cross multiply
    125.04x = 172.56 × 75.96
  4. Step 4: Simplify right side
    125.04x = 13,107.66
  5. Step 5: Solve for x
    x = 13,107.66/125.04
  6. Step 6: Final answer
    x = 104.83

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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.