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Finding the Fourth Proportional to 9.31, 12.82 and 7.02

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Solution

The fourth proportional to 9.31, 12.82 and 7.02 is: 9.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.31 : 12.82 = 7.02 : x
  2. Step 2: Convert to fraction form
    9.31/12.82 = 7.02/x
  3. Step 3: Cross multiply
    9.31x = 12.82 × 7.02
  4. Step 4: Simplify right side
    9.31x = 89.93
  5. Step 5: Solve for x
    x = 89.93/9.31
  6. Step 6: Final answer
    x = 9.66

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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.