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Finding the Fourth Proportional to 46.42, 63.96 and 36.06

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Solution

The fourth proportional to 46.42, 63.96 and 36.06 is: 49.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.42 : 63.96 = 36.06 : x
  2. Step 2: Convert to fraction form
    46.42/63.96 = 36.06/x
  3. Step 3: Cross multiply
    46.42x = 63.96 × 36.06
  4. Step 4: Simplify right side
    46.42x = 2,306.40
  5. Step 5: Solve for x
    x = 2,306.40/46.42
  6. Step 6: Final answer
    x = 49.69

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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.