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Finding the Fourth Proportional to 45.12, 62.25 and 27.65

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Solution

The fourth proportional to 45.12, 62.25 and 27.65 is: 38.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.12 : 62.25 = 27.65 : x
  2. Step 2: Convert to fraction form
    45.12/62.25 = 27.65/x
  3. Step 3: Cross multiply
    45.12x = 62.25 × 27.65
  4. Step 4: Simplify right side
    45.12x = 1,720.90
  5. Step 5: Solve for x
    x = 1,720.90/45.12
  6. Step 6: Final answer
    x = 38.14

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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.