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Finding the Fourth Proportional to 6.33, 9.45 and 5.65

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Solution

The fourth proportional to 6.33, 9.45 and 5.65 is: 8.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.33 : 9.45 = 5.65 : x
  2. Step 2: Convert to fraction form
    6.33/9.45 = 5.65/x
  3. Step 3: Cross multiply
    6.33x = 9.45 × 5.65
  4. Step 4: Simplify right side
    6.33x = 53.39
  5. Step 5: Solve for x
    x = 53.39/6.33
  6. Step 6: Final answer
    x = 8.43

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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.