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Finding the Fourth Proportional to 29.86, 41.22 and 19.51

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Solution

The fourth proportional to 29.86, 41.22 and 19.51 is: 26.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.86 : 41.22 = 19.51 : x
  2. Step 2: Convert to fraction form
    29.86/41.22 = 19.51/x
  3. Step 3: Cross multiply
    29.86x = 41.22 × 19.51
  4. Step 4: Simplify right side
    29.86x = 804.10
  5. Step 5: Solve for x
    x = 804.10/29.86
  6. Step 6: Final answer
    x = 26.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.