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Finding the Fourth Proportional to 48.45, 66.63 and 36.12

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Solution

The fourth proportional to 48.45, 66.63 and 36.12 is: 49.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.45 : 66.63 = 36.12 : x
  2. Step 2: Convert to fraction form
    48.45/66.63 = 36.12/x
  3. Step 3: Cross multiply
    48.45x = 66.63 × 36.12
  4. Step 4: Simplify right side
    48.45x = 2,406.68
  5. Step 5: Solve for x
    x = 2,406.68/48.45
  6. Step 6: Final answer
    x = 49.67

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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.