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Finding the Fourth Proportional to 91.34, 126.19 and 77.68

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Solution

The fourth proportional to 91.34, 126.19 and 77.68 is: 107.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.34 : 126.19 = 77.68 : x
  2. Step 2: Convert to fraction form
    91.34/126.19 = 77.68/x
  3. Step 3: Cross multiply
    91.34x = 126.19 × 77.68
  4. Step 4: Simplify right side
    91.34x = 9,802.44
  5. Step 5: Solve for x
    x = 9,802.44/91.34
  6. Step 6: Final answer
    x = 107.32

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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.