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Finding the Fourth Proportional to 91.64, 126.30 and 68.36

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Solution

The fourth proportional to 91.64, 126.30 and 68.36 is: 94.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.64 : 126.30 = 68.36 : x
  2. Step 2: Convert to fraction form
    91.64/126.30 = 68.36/x
  3. Step 3: Cross multiply
    91.64x = 126.30 × 68.36
  4. Step 4: Simplify right side
    91.64x = 8,633.87
  5. Step 5: Solve for x
    x = 8,633.87/91.64
  6. Step 6: Final answer
    x = 94.22

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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.