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Finding the Fourth Proportional to 75.12, 111.94 and 72.92

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Solution

The fourth proportional to 75.12, 111.94 and 72.92 is: 108.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.12 : 111.94 = 72.92 : x
  2. Step 2: Convert to fraction form
    75.12/111.94 = 72.92/x
  3. Step 3: Cross multiply
    75.12x = 111.94 × 72.92
  4. Step 4: Simplify right side
    75.12x = 8,162.13
  5. Step 5: Solve for x
    x = 8,162.13/75.12
  6. Step 6: Final answer
    x = 108.66

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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.