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Finding the Fourth Proportional to 48.40, 66.78 and 27.67

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Solution

The fourth proportional to 48.40, 66.78 and 27.67 is: 38.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.40 : 66.78 = 27.67 : x
  2. Step 2: Convert to fraction form
    48.40/66.78 = 27.67/x
  3. Step 3: Cross multiply
    48.40x = 66.78 × 27.67
  4. Step 4: Simplify right side
    48.40x = 1,847.60
  5. Step 5: Solve for x
    x = 1,847.60/48.40
  6. Step 6: Final answer
    x = 38.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.