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Finding the Fourth Proportional to 76.74, 106.02 and 75.66

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Solution

The fourth proportional to 76.74, 106.02 and 75.66 is: 104.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.74 : 106.02 = 75.66 : x
  2. Step 2: Convert to fraction form
    76.74/106.02 = 75.66/x
  3. Step 3: Cross multiply
    76.74x = 106.02 × 75.66
  4. Step 4: Simplify right side
    76.74x = 8,021.47
  5. Step 5: Solve for x
    x = 8,021.47/76.74
  6. Step 6: Final answer
    x = 104.53

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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.