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Finding the Fourth Proportional to 9.23, 12.75 and 8.02

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Solution

The fourth proportional to 9.23, 12.75 and 8.02 is: 11.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.23 : 12.75 = 8.02 : x
  2. Step 2: Convert to fraction form
    9.23/12.75 = 8.02/x
  3. Step 3: Cross multiply
    9.23x = 12.75 × 8.02
  4. Step 4: Simplify right side
    9.23x = 102.19
  5. Step 5: Solve for x
    x = 102.19/9.23
  6. Step 6: Final answer
    x = 11.07

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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.