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Finding the Fourth Proportional to 5.67, 7.83 and 5.13

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Solution

The fourth proportional to 5.67, 7.83 and 5.13 is: 7.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.67 : 7.83 = 5.13 : x
  2. Step 2: Convert to fraction form
    5.67/7.83 = 5.13/x
  3. Step 3: Cross multiply
    5.67x = 7.83 × 5.13
  4. Step 4: Simplify right side
    5.67x = 40.17
  5. Step 5: Solve for x
    x = 40.17/5.67
  6. Step 6: Final answer
    x = 7.08

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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.