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Finding the Fourth Proportional to 73.96, 111.34 and 66.52

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Solution

The fourth proportional to 73.96, 111.34 and 66.52 is: 100.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.96 : 111.34 = 66.52 : x
  2. Step 2: Convert to fraction form
    73.96/111.34 = 66.52/x
  3. Step 3: Cross multiply
    73.96x = 111.34 × 66.52
  4. Step 4: Simplify right side
    73.96x = 7,405.56
  5. Step 5: Solve for x
    x = 7,405.56/73.96
  6. Step 6: Final answer
    x = 100.13

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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.