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Finding the Fourth Proportional to 6.29, 8.70 and 5.68

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Solution

The fourth proportional to 6.29, 8.70 and 5.68 is: 7.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.29 : 8.70 = 5.68 : x
  2. Step 2: Convert to fraction form
    6.29/8.70 = 5.68/x
  3. Step 3: Cross multiply
    6.29x = 8.70 × 5.68
  4. Step 4: Simplify right side
    6.29x = 49.39
  5. Step 5: Solve for x
    x = 49.39/6.29
  6. Step 6: Final answer
    x = 7.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.