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Finding the Fourth Proportional to 74.88, 111.38 and 72.84

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Solution

The fourth proportional to 74.88, 111.38 and 72.84 is: 108.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.88 : 111.38 = 72.84 : x
  2. Step 2: Convert to fraction form
    74.88/111.38 = 72.84/x
  3. Step 3: Cross multiply
    74.88x = 111.38 × 72.84
  4. Step 4: Simplify right side
    74.88x = 8,112.56
  5. Step 5: Solve for x
    x = 8,112.56/74.88
  6. Step 6: Final answer
    x = 108.34

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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.