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Finding the Fourth Proportional to 29.68, 40.71 and 27.93

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Solution

The fourth proportional to 29.68, 40.71 and 27.93 is: 38.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.68 : 40.71 = 27.93 : x
  2. Step 2: Convert to fraction form
    29.68/40.71 = 27.93/x
  3. Step 3: Cross multiply
    29.68x = 40.71 × 27.93
  4. Step 4: Simplify right side
    29.68x = 1,137.03
  5. Step 5: Solve for x
    x = 1,137.03/29.68
  6. Step 6: Final answer
    x = 38.31

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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.