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Finding the Fourth Proportional to 7.10, 10.63 and 6.92

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Solution

The fourth proportional to 7.10, 10.63 and 6.92 is: 10.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.10 : 10.63 = 6.92 : x
  2. Step 2: Convert to fraction form
    7.10/10.63 = 6.92/x
  3. Step 3: Cross multiply
    7.10x = 10.63 × 6.92
  4. Step 4: Simplify right side
    7.10x = 73.56
  5. Step 5: Solve for x
    x = 73.56/7.10
  6. Step 6: Final answer
    x = 10.36

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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.