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Finding the Fourth Proportional to 46.54, 69.76 and 20.50

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Solution

The fourth proportional to 46.54, 69.76 and 20.50 is: 30.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.54 : 69.76 = 20.50 : x
  2. Step 2: Convert to fraction form
    46.54/69.76 = 20.50/x
  3. Step 3: Cross multiply
    46.54x = 69.76 × 20.50
  4. Step 4: Simplify right side
    46.54x = 1,430.08
  5. Step 5: Solve for x
    x = 1,430.08/46.54
  6. Step 6: Final answer
    x = 30.73

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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.