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Finding the Fourth Proportional to 76.44, 114.46 and 73.48

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Solution

The fourth proportional to 76.44, 114.46 and 73.48 is: 110.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.44 : 114.46 = 73.48 : x
  2. Step 2: Convert to fraction form
    76.44/114.46 = 73.48/x
  3. Step 3: Cross multiply
    76.44x = 114.46 × 73.48
  4. Step 4: Simplify right side
    76.44x = 8,410.52
  5. Step 5: Solve for x
    x = 8,410.52/76.44
  6. Step 6: Final answer
    x = 110.03

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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.