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Finding the Fourth Proportional to 10.51, 15.74 and 8.11

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Solution

The fourth proportional to 10.51, 15.74 and 8.11 is: 12.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.51 : 15.74 = 8.11 : x
  2. Step 2: Convert to fraction form
    10.51/15.74 = 8.11/x
  3. Step 3: Cross multiply
    10.51x = 15.74 × 8.11
  4. Step 4: Simplify right side
    10.51x = 127.57
  5. Step 5: Solve for x
    x = 127.57/10.51
  6. Step 6: Final answer
    x = 12.14

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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.