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Finding the Fourth Proportional to 76.16, 113.97 and 71.84

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Solution

The fourth proportional to 76.16, 113.97 and 71.84 is: 107.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.16 : 113.97 = 71.84 : x
  2. Step 2: Convert to fraction form
    76.16/113.97 = 71.84/x
  3. Step 3: Cross multiply
    76.16x = 113.97 × 71.84
  4. Step 4: Simplify right side
    76.16x = 8,187.60
  5. Step 5: Solve for x
    x = 8,187.60/76.16
  6. Step 6: Final answer
    x = 107.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.