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Finding the Fourth Proportional to 16.10, 24.14 and 9.34

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Solution

The fourth proportional to 16.10, 24.14 and 9.34 is: 14.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.10 : 24.14 = 9.34 : x
  2. Step 2: Convert to fraction form
    16.10/24.14 = 9.34/x
  3. Step 3: Cross multiply
    16.10x = 24.14 × 9.34
  4. Step 4: Simplify right side
    16.10x = 225.47
  5. Step 5: Solve for x
    x = 225.47/16.10
  6. Step 6: Final answer
    x = 14.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.