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Finding the Fourth Proportional to 5.16, 7.83 and 5.13

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Solution

The fourth proportional to 5.16, 7.83 and 5.13 is: 7.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.16 : 7.83 = 5.13 : x
  2. Step 2: Convert to fraction form
    5.16/7.83 = 5.13/x
  3. Step 3: Cross multiply
    5.16x = 7.83 × 5.13
  4. Step 4: Simplify right side
    5.16x = 40.17
  5. Step 5: Solve for x
    x = 40.17/5.16
  6. Step 6: Final answer
    x = 7.78

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.