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Finding the Fourth Proportional to 73.64, 111 and 66.20

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Solution

The fourth proportional to 73.64, 111 and 66.20 is: 99.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.64 : 111 = 66.20 : x
  2. Step 2: Convert to fraction form
    73.64/111 = 66.20/x
  3. Step 3: Cross multiply
    73.64x = 111 × 66.20
  4. Step 4: Simplify right side
    73.64x = 7,348.20
  5. Step 5: Solve for x
    x = 7,348.20/73.64
  6. Step 6: Final answer
    x = 99.79

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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.