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Finding the Fourth Proportional to 6.95, 10.37 and 6.95

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Solution

The fourth proportional to 6.95, 10.37 and 6.95 is: 10.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.95 : 10.37 = 6.95 : x
  2. Step 2: Convert to fraction form
    6.95/10.37 = 6.95/x
  3. Step 3: Cross multiply
    6.95x = 10.37 × 6.95
  4. Step 4: Simplify right side
    6.95x = 71.98
  5. Step 5: Solve for x
    x = 71.98/6.95
  6. Step 6: Final answer
    x = 10.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.