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Finding the Fourth Proportional to 5.63, 7.71 and 5.09

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Solution

The fourth proportional to 5.63, 7.71 and 5.09 is: 6.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.63 : 7.71 = 5.09 : x
  2. Step 2: Convert to fraction form
    5.63/7.71 = 5.09/x
  3. Step 3: Cross multiply
    5.63x = 7.71 × 5.09
  4. Step 4: Simplify right side
    5.63x = 39.18
  5. Step 5: Solve for x
    x = 39.18/5.63
  6. Step 6: Final answer
    x = 6.97

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.