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Finding the Fourth Proportional to 75.33, 112.23 and 72.09

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Solution

The fourth proportional to 75.33, 112.23 and 72.09 is: 107.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.33 : 112.23 = 72.09 : x
  2. Step 2: Convert to fraction form
    75.33/112.23 = 72.09/x
  3. Step 3: Cross multiply
    75.33x = 112.23 × 72.09
  4. Step 4: Simplify right side
    75.33x = 8,090.66
  5. Step 5: Solve for x
    x = 8,090.66/75.33
  6. Step 6: Final answer
    x = 107.40

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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.