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Finding the Fourth Proportional to 73.80, 110.07 and 67.32

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Solution

The fourth proportional to 73.80, 110.07 and 67.32 is: 100.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.80 : 110.07 = 67.32 : x
  2. Step 2: Convert to fraction form
    73.80/110.07 = 67.32/x
  3. Step 3: Cross multiply
    73.80x = 110.07 × 67.32
  4. Step 4: Simplify right side
    73.80x = 7,409.91
  5. Step 5: Solve for x
    x = 7,409.91/73.80
  6. Step 6: Final answer
    x = 100.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.