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Finding the Fourth Proportional to 96.78, 134.26 and 91.92

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Solution

The fourth proportional to 96.78, 134.26 and 91.92 is: 127.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.78 : 134.26 = 91.92 : x
  2. Step 2: Convert to fraction form
    96.78/134.26 = 91.92/x
  3. Step 3: Cross multiply
    96.78x = 134.26 × 91.92
  4. Step 4: Simplify right side
    96.78x = 12,341.18
  5. Step 5: Solve for x
    x = 12,341.18/96.78
  6. Step 6: Final answer
    x = 127.52

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.