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Finding the Fourth Proportional to 76.81, 106.46 and 75.37

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Solution

The fourth proportional to 76.81, 106.46 and 75.37 is: 104.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.81 : 106.46 = 75.37 : x
  2. Step 2: Convert to fraction form
    76.81/106.46 = 75.37/x
  3. Step 3: Cross multiply
    76.81x = 106.46 × 75.37
  4. Step 4: Simplify right side
    76.81x = 8,023.51
  5. Step 5: Solve for x
    x = 8,023.51/76.81
  6. Step 6: Final answer
    x = 104.46

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.