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Finding the Fourth Proportional to 126.50, 174.50 and 79.90

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Solution

The fourth proportional to 126.50, 174.50 and 79.90 is: 110.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.50 : 174.50 = 79.90 : x
  2. Step 2: Convert to fraction form
    126.50/174.50 = 79.90/x
  3. Step 3: Cross multiply
    126.50x = 174.50 × 79.90
  4. Step 4: Simplify right side
    126.50x = 13,942.55
  5. Step 5: Solve for x
    x = 13,942.55/126.50
  6. Step 6: Final answer
    x = 110.22

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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.