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Finding the Fourth Proportional to 73.50, 109.62 and 67.44

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Solution

The fourth proportional to 73.50, 109.62 and 67.44 is: 100.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.50 : 109.62 = 67.44 : x
  2. Step 2: Convert to fraction form
    73.50/109.62 = 67.44/x
  3. Step 3: Cross multiply
    73.50x = 109.62 × 67.44
  4. Step 4: Simplify right side
    73.50x = 7,392.77
  5. Step 5: Solve for x
    x = 7,392.77/73.50
  6. Step 6: Final answer
    x = 100.58

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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.