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Finding the Fourth Proportional to 46.20, 63.80 and 33.12

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Solution

The fourth proportional to 46.20, 63.80 and 33.12 is: 45.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.20 : 63.80 = 33.12 : x
  2. Step 2: Convert to fraction form
    46.20/63.80 = 33.12/x
  3. Step 3: Cross multiply
    46.20x = 63.80 × 33.12
  4. Step 4: Simplify right side
    46.20x = 2,113.06
  5. Step 5: Solve for x
    x = 2,113.06/46.20
  6. Step 6: Final answer
    x = 45.74

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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.