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Finding the Fourth Proportional to 46.21, 63.61 and 40.75

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Solution

The fourth proportional to 46.21, 63.61 and 40.75 is: 56.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.21 : 63.61 = 40.75 : x
  2. Step 2: Convert to fraction form
    46.21/63.61 = 40.75/x
  3. Step 3: Cross multiply
    46.21x = 63.61 × 40.75
  4. Step 4: Simplify right side
    46.21x = 2,592.11
  5. Step 5: Solve for x
    x = 2,592.11/46.21
  6. Step 6: Final answer
    x = 56.09

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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.