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Finding the Fourth Proportional to 37.86, 56.72 and 19.82

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Solution

The fourth proportional to 37.86, 56.72 and 19.82 is: 29.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.86 : 56.72 = 19.82 : x
  2. Step 2: Convert to fraction form
    37.86/56.72 = 19.82/x
  3. Step 3: Cross multiply
    37.86x = 56.72 × 19.82
  4. Step 4: Simplify right side
    37.86x = 1,124.19
  5. Step 5: Solve for x
    x = 1,124.19/37.86
  6. Step 6: Final answer
    x = 29.69

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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.