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Finding the Fourth Proportional to 28.77, 43.10 and 19.72

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Solution

The fourth proportional to 28.77, 43.10 and 19.72 is: 29.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.77 : 43.10 = 19.72 : x
  2. Step 2: Convert to fraction form
    28.77/43.10 = 19.72/x
  3. Step 3: Cross multiply
    28.77x = 43.10 × 19.72
  4. Step 4: Simplify right side
    28.77x = 849.93
  5. Step 5: Solve for x
    x = 849.93/28.77
  6. Step 6: Final answer
    x = 29.54

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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.