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Finding the Fourth Proportional to 125.44, 172.96 and 114.48

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Solution

The fourth proportional to 125.44, 172.96 and 114.48 is: 157.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.44 : 172.96 = 114.48 : x
  2. Step 2: Convert to fraction form
    125.44/172.96 = 114.48/x
  3. Step 3: Cross multiply
    125.44x = 172.96 × 114.48
  4. Step 4: Simplify right side
    125.44x = 19,800.46
  5. Step 5: Solve for x
    x = 19,800.46/125.44
  6. Step 6: Final answer
    x = 157.85

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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.