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Finding the Fourth Proportional to 45.94, 63.41 and 32.13

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Solution

The fourth proportional to 45.94, 63.41 and 32.13 is: 44.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.94 : 63.41 = 32.13 : x
  2. Step 2: Convert to fraction form
    45.94/63.41 = 32.13/x
  3. Step 3: Cross multiply
    45.94x = 63.41 × 32.13
  4. Step 4: Simplify right side
    45.94x = 2,037.13
  5. Step 5: Solve for x
    x = 2,037.13/45.94
  6. Step 6: Final answer
    x = 44.34

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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.