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Finding the Fourth Proportional to 45.22, 62.49 and 36.58

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Solution

The fourth proportional to 45.22, 62.49 and 36.58 is: 50.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.22 : 62.49 = 36.58 : x
  2. Step 2: Convert to fraction form
    45.22/62.49 = 36.58/x
  3. Step 3: Cross multiply
    45.22x = 62.49 × 36.58
  4. Step 4: Simplify right side
    45.22x = 2,285.88
  5. Step 5: Solve for x
    x = 2,285.88/45.22
  6. Step 6: Final answer
    x = 50.55

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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.