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Finding the Fourth Proportional to 126.57, 174.75 and 77.50

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Solution

The fourth proportional to 126.57, 174.75 and 77.50 is: 107.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.57 : 174.75 = 77.50 : x
  2. Step 2: Convert to fraction form
    126.57/174.75 = 77.50/x
  3. Step 3: Cross multiply
    126.57x = 174.75 × 77.50
  4. Step 4: Simplify right side
    126.57x = 13,542.69
  5. Step 5: Solve for x
    x = 13,542.69/126.57
  6. Step 6: Final answer
    x = 107.00

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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.