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Finding the Fourth Proportional to 91.91, 126.83 and 55.07

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Solution

The fourth proportional to 91.91, 126.83 and 55.07 is: 75.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.91 : 126.83 = 55.07 : x
  2. Step 2: Convert to fraction form
    91.91/126.83 = 55.07/x
  3. Step 3: Cross multiply
    91.91x = 126.83 × 55.07
  4. Step 4: Simplify right side
    91.91x = 6,984.30
  5. Step 5: Solve for x
    x = 6,984.30/91.91
  6. Step 6: Final answer
    x = 75.99

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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.