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Finding the Fourth Proportional to 7.82, 11.70 and 7.02

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Solution

The fourth proportional to 7.82, 11.70 and 7.02 is: 10.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.82 : 11.70 = 7.02 : x
  2. Step 2: Convert to fraction form
    7.82/11.70 = 7.02/x
  3. Step 3: Cross multiply
    7.82x = 11.70 × 7.02
  4. Step 4: Simplify right side
    7.82x = 82.13
  5. Step 5: Solve for x
    x = 82.13/7.82
  6. Step 6: Final answer
    x = 10.51

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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.