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Finding the Fourth Proportional to 29.14, 40.23 and 27.40

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Solution

The fourth proportional to 29.14, 40.23 and 27.40 is: 37.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.14 : 40.23 = 27.40 : x
  2. Step 2: Convert to fraction form
    29.14/40.23 = 27.40/x
  3. Step 3: Cross multiply
    29.14x = 40.23 × 27.40
  4. Step 4: Simplify right side
    29.14x = 1,102.30
  5. Step 5: Solve for x
    x = 1,102.30/29.14
  6. Step 6: Final answer
    x = 37.83

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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.