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Finding the Fourth Proportional to 91.49, 126.14 and 77.63

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Solution

The fourth proportional to 91.49, 126.14 and 77.63 is: 107.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.49 : 126.14 = 77.63 : x
  2. Step 2: Convert to fraction form
    91.49/126.14 = 77.63/x
  3. Step 3: Cross multiply
    91.49x = 126.14 × 77.63
  4. Step 4: Simplify right side
    91.49x = 9,791.23
  5. Step 5: Solve for x
    x = 9,791.23/91.49
  6. Step 6: Final answer
    x = 107.03

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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.