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Finding the Fourth Proportional to 6.77, 10.14 and 4.10

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Solution

The fourth proportional to 6.77, 10.14 and 4.10 is: 6.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.77 : 10.14 = 4.10 : x
  2. Step 2: Convert to fraction form
    6.77/10.14 = 4.10/x
  3. Step 3: Cross multiply
    6.77x = 10.14 × 4.10
  4. Step 4: Simplify right side
    6.77x = 41.57
  5. Step 5: Solve for x
    x = 41.57/6.77
  6. Step 6: Final answer
    x = 6.14

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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.