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Finding the Fourth Proportional to 5.22, 7.84 and 5.07

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Solution

The fourth proportional to 5.22, 7.84 and 5.07 is: 7.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.22 : 7.84 = 5.07 : x
  2. Step 2: Convert to fraction form
    5.22/7.84 = 5.07/x
  3. Step 3: Cross multiply
    5.22x = 7.84 × 5.07
  4. Step 4: Simplify right side
    5.22x = 39.75
  5. Step 5: Solve for x
    x = 39.75/5.22
  6. Step 6: Final answer
    x = 7.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.