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Finding the Fourth Proportional to 7.48, 11.22 and 5.46

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Solution

The fourth proportional to 7.48, 11.22 and 5.46 is: 8.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.48 : 11.22 = 5.46 : x
  2. Step 2: Convert to fraction form
    7.48/11.22 = 5.46/x
  3. Step 3: Cross multiply
    7.48x = 11.22 × 5.46
  4. Step 4: Simplify right side
    7.48x = 61.26
  5. Step 5: Solve for x
    x = 61.26/7.48
  6. Step 6: Final answer
    x = 8.19

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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.