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Finding the Fourth Proportional to 126.70, 174.74 and 83

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Solution

The fourth proportional to 126.70, 174.74 and 83 is: 114.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.70 : 174.74 = 83 : x
  2. Step 2: Convert to fraction form
    126.70/174.74 = 83/x
  3. Step 3: Cross multiply
    126.70x = 174.74 × 83
  4. Step 4: Simplify right side
    126.70x = 14,503.42
  5. Step 5: Solve for x
    x = 14,503.42/126.70
  6. Step 6: Final answer
    x = 114.47

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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.