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Finding the Fourth Proportional to 44.35, 66.50 and 32.15

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Solution

The fourth proportional to 44.35, 66.50 and 32.15 is: 48.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.35 : 66.50 = 32.15 : x
  2. Step 2: Convert to fraction form
    44.35/66.50 = 32.15/x
  3. Step 3: Cross multiply
    44.35x = 66.50 × 32.15
  4. Step 4: Simplify right side
    44.35x = 2,137.98
  5. Step 5: Solve for x
    x = 2,137.98/44.35
  6. Step 6: Final answer
    x = 48.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.