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Finding the Fourth Proportional to 76.76, 105.66 and 67.04

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Solution

The fourth proportional to 76.76, 105.66 and 67.04 is: 92.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.76 : 105.66 = 67.04 : x
  2. Step 2: Convert to fraction form
    76.76/105.66 = 67.04/x
  3. Step 3: Cross multiply
    76.76x = 105.66 × 67.04
  4. Step 4: Simplify right side
    76.76x = 7,083.71
  5. Step 5: Solve for x
    x = 7,083.71/76.76
  6. Step 6: Final answer
    x = 92.28

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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.