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Finding the Fourth Proportional to 46.46, 64.13 and 36.13

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Solution

The fourth proportional to 46.46, 64.13 and 36.13 is: 49.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.46 : 64.13 = 36.13 : x
  2. Step 2: Convert to fraction form
    46.46/64.13 = 36.13/x
  3. Step 3: Cross multiply
    46.46x = 64.13 × 36.13
  4. Step 4: Simplify right side
    46.46x = 2,317.02
  5. Step 5: Solve for x
    x = 2,317.02/46.46
  6. Step 6: Final answer
    x = 49.87

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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.