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Finding the Fourth Proportional to 16.71, 24.94 and 16.40

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Solution

The fourth proportional to 16.71, 24.94 and 16.40 is: 24.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.71 : 24.94 = 16.40 : x
  2. Step 2: Convert to fraction form
    16.71/24.94 = 16.40/x
  3. Step 3: Cross multiply
    16.71x = 24.94 × 16.40
  4. Step 4: Simplify right side
    16.71x = 409.10
  5. Step 5: Solve for x
    x = 409.10/16.71
  6. Step 6: Final answer
    x = 24.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.