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Finding the Fourth Proportional to 11.58, 16.00 and 10.21

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Solution

The fourth proportional to 11.58, 16.00 and 10.21 is: 14.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.58 : 16.00 = 10.21 : x
  2. Step 2: Convert to fraction form
    11.58/16.00 = 10.21/x
  3. Step 3: Cross multiply
    11.58x = 16.00 × 10.21
  4. Step 4: Simplify right side
    11.58x = 163.29
  5. Step 5: Solve for x
    x = 163.29/11.58
  6. Step 6: Final answer
    x = 14.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.