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Finding the Fourth Proportional to 8.33, 12.56 and 8.01

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Solution

The fourth proportional to 8.33, 12.56 and 8.01 is: 12.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.33 : 12.56 = 8.01 : x
  2. Step 2: Convert to fraction form
    8.33/12.56 = 8.01/x
  3. Step 3: Cross multiply
    8.33x = 12.56 × 8.01
  4. Step 4: Simplify right side
    8.33x = 100.61
  5. Step 5: Solve for x
    x = 100.61/8.33
  6. Step 6: Final answer
    x = 12.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.