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Finding the Fourth Proportional to 6.78, 10.12 and 5.16

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Solution

The fourth proportional to 6.78, 10.12 and 5.16 is: 7.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.78 : 10.12 = 5.16 : x
  2. Step 2: Convert to fraction form
    6.78/10.12 = 5.16/x
  3. Step 3: Cross multiply
    6.78x = 10.12 × 5.16
  4. Step 4: Simplify right side
    6.78x = 52.22
  5. Step 5: Solve for x
    x = 52.22/6.78
  6. Step 6: Final answer
    x = 7.70

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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.