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Finding the Fourth Proportional to 16.10, 24.01 and 15.66

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Solution

The fourth proportional to 16.10, 24.01 and 15.66 is: 23.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.10 : 24.01 = 15.66 : x
  2. Step 2: Convert to fraction form
    16.10/24.01 = 15.66/x
  3. Step 3: Cross multiply
    16.10x = 24.01 × 15.66
  4. Step 4: Simplify right side
    16.10x = 375.92
  5. Step 5: Solve for x
    x = 375.92/16.10
  6. Step 6: Final answer
    x = 23.35

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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.