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Finding the Fourth Proportional to 16.40, 24.70 and 16.16

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Solution

The fourth proportional to 16.40, 24.70 and 16.16 is: 24.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.40 : 24.70 = 16.16 : x
  2. Step 2: Convert to fraction form
    16.40/24.70 = 16.16/x
  3. Step 3: Cross multiply
    16.40x = 24.70 × 16.16
  4. Step 4: Simplify right side
    16.40x = 399.15
  5. Step 5: Solve for x
    x = 399.15/16.40
  6. Step 6: Final answer
    x = 24.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.