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Finding the Fourth Proportional to 76, 113.22 and 71.84

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Solution

The fourth proportional to 76, 113.22 and 71.84 is: 107.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    76 : 113.22 = 71.84 : x
  2. Step 2: Convert to fraction form
    76/113.22 = 71.84/x
  3. Step 3: Cross multiply
    76x = 113.22 × 71.84
  4. Step 4: Simplify right side
    76x = 8,133.72
  5. Step 5: Solve for x
    x = 8,133.72/76
  6. Step 6: Final answer
    x = 107.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.