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Finding the Fourth Proportional to 18.48, 27.72 and 6.46

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Solution

The fourth proportional to 18.48, 27.72 and 6.46 is: 9.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.48 : 27.72 = 6.46 : x
  2. Step 2: Convert to fraction form
    18.48/27.72 = 6.46/x
  3. Step 3: Cross multiply
    18.48x = 27.72 × 6.46
  4. Step 4: Simplify right side
    18.48x = 178.93
  5. Step 5: Solve for x
    x = 178.93/18.48
  6. Step 6: Final answer
    x = 9.68

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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.