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Finding the Fourth Proportional to 76.13, 114.04 and 68.66

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Solution

The fourth proportional to 76.13, 114.04 and 68.66 is: 102.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.13 : 114.04 = 68.66 : x
  2. Step 2: Convert to fraction form
    76.13/114.04 = 68.66/x
  3. Step 3: Cross multiply
    76.13x = 114.04 × 68.66
  4. Step 4: Simplify right side
    76.13x = 7,829.24
  5. Step 5: Solve for x
    x = 7,829.24/76.13
  6. Step 6: Final answer
    x = 102.85

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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.