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Finding the Fourth Proportional to 73.22, 110.27 and 64.78

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Solution

The fourth proportional to 73.22, 110.27 and 64.78 is: 97.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.22 : 110.27 = 64.78 : x
  2. Step 2: Convert to fraction form
    73.22/110.27 = 64.78/x
  3. Step 3: Cross multiply
    73.22x = 110.27 × 64.78
  4. Step 4: Simplify right side
    73.22x = 7,143.18
  5. Step 5: Solve for x
    x = 7,143.18/73.22
  6. Step 6: Final answer
    x = 97.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.