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Finding the Fourth Proportional to 41.08, 61.74 and 19.72

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Solution

The fourth proportional to 41.08, 61.74 and 19.72 is: 29.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.08 : 61.74 = 19.72 : x
  2. Step 2: Convert to fraction form
    41.08/61.74 = 19.72/x
  3. Step 3: Cross multiply
    41.08x = 61.74 × 19.72
  4. Step 4: Simplify right side
    41.08x = 1,217.51
  5. Step 5: Solve for x
    x = 1,217.51/41.08
  6. Step 6: Final answer
    x = 29.64

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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.