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Finding the Fourth Proportional to 91.73, 138.22 and 75.84

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Solution

The fourth proportional to 91.73, 138.22 and 75.84 is: 114.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.73 : 138.22 = 75.84 : x
  2. Step 2: Convert to fraction form
    91.73/138.22 = 75.84/x
  3. Step 3: Cross multiply
    91.73x = 138.22 × 75.84
  4. Step 4: Simplify right side
    91.73x = 10,482.09
  5. Step 5: Solve for x
    x = 10,482.09/91.73
  6. Step 6: Final answer
    x = 114.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.