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Finding the Fourth Proportional to 29.86, 41.14 and 29.68

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Solution

The fourth proportional to 29.86, 41.14 and 29.68 is: 40.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.86 : 41.14 = 29.68 : x
  2. Step 2: Convert to fraction form
    29.86/41.14 = 29.68/x
  3. Step 3: Cross multiply
    29.86x = 41.14 × 29.68
  4. Step 4: Simplify right side
    29.86x = 1,221.04
  5. Step 5: Solve for x
    x = 1,221.04/29.86
  6. Step 6: Final answer
    x = 40.89

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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.