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Finding the Fourth Proportional to 126.24, 172.96 and 124.64

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Solution

The fourth proportional to 126.24, 172.96 and 124.64 is: 170.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.24 : 172.96 = 124.64 : x
  2. Step 2: Convert to fraction form
    126.24/172.96 = 124.64/x
  3. Step 3: Cross multiply
    126.24x = 172.96 × 124.64
  4. Step 4: Simplify right side
    126.24x = 21,557.73
  5. Step 5: Solve for x
    x = 21,557.73/126.24
  6. Step 6: Final answer
    x = 170.77

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.