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Finding the Fourth Proportional to 29.64, 40.90 and 16.71

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Solution

The fourth proportional to 29.64, 40.90 and 16.71 is: 23.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.64 : 40.90 = 16.71 : x
  2. Step 2: Convert to fraction form
    29.64/40.90 = 16.71/x
  3. Step 3: Cross multiply
    29.64x = 40.90 × 16.71
  4. Step 4: Simplify right side
    29.64x = 683.44
  5. Step 5: Solve for x
    x = 683.44/29.64
  6. Step 6: Final answer
    x = 23.06

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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.