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Finding the Fourth Proportional to 29.99, 41.14 and 29.59

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Solution

The fourth proportional to 29.99, 41.14 and 29.59 is: 40.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.99 : 41.14 = 29.59 : x
  2. Step 2: Convert to fraction form
    29.99/41.14 = 29.59/x
  3. Step 3: Cross multiply
    29.99x = 41.14 × 29.59
  4. Step 4: Simplify right side
    29.99x = 1,217.33
  5. Step 5: Solve for x
    x = 1,217.33/29.99
  6. Step 6: Final answer
    x = 40.59

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.