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Finding the Fourth Proportional to 76.44, 105.48 and 74.46

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Solution

The fourth proportional to 76.44, 105.48 and 74.46 is: 102.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.44 : 105.48 = 74.46 : x
  2. Step 2: Convert to fraction form
    76.44/105.48 = 74.46/x
  3. Step 3: Cross multiply
    76.44x = 105.48 × 74.46
  4. Step 4: Simplify right side
    76.44x = 7,854.04
  5. Step 5: Solve for x
    x = 7,854.04/76.44
  6. Step 6: Final answer
    x = 102.75

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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.