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Finding the Fourth Proportional to 75.38, 113.08 and 29.77

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Solution

The fourth proportional to 75.38, 113.08 and 29.77 is: 44.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.38 : 113.08 = 29.77 : x
  2. Step 2: Convert to fraction form
    75.38/113.08 = 29.77/x
  3. Step 3: Cross multiply
    75.38x = 113.08 × 29.77
  4. Step 4: Simplify right side
    75.38x = 3,366.09
  5. Step 5: Solve for x
    x = 3,366.09/75.38
  6. Step 6: Final answer
    x = 44.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.