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Finding the Fourth Proportional to 16.16, 24.01 and 15.80

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Solution

The fourth proportional to 16.16, 24.01 and 15.80 is: 23.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.16 : 24.01 = 15.80 : x
  2. Step 2: Convert to fraction form
    16.16/24.01 = 15.80/x
  3. Step 3: Cross multiply
    16.16x = 24.01 × 15.80
  4. Step 4: Simplify right side
    16.16x = 379.20
  5. Step 5: Solve for x
    x = 379.20/16.16
  6. Step 6: Final answer
    x = 23.47

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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.