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Finding the Fourth Proportional to 46.50, 64.13 and 36.78

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Solution

The fourth proportional to 46.50, 64.13 and 36.78 is: 50.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.50 : 64.13 = 36.78 : x
  2. Step 2: Convert to fraction form
    46.50/64.13 = 36.78/x
  3. Step 3: Cross multiply
    46.50x = 64.13 × 36.78
  4. Step 4: Simplify right side
    46.50x = 2,358.70
  5. Step 5: Solve for x
    x = 2,358.70/46.50
  6. Step 6: Final answer
    x = 50.72

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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.