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Finding the Fourth Proportional to 45.53, 62.84 and 27.11

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Solution

The fourth proportional to 45.53, 62.84 and 27.11 is: 37.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.53 : 62.84 = 27.11 : x
  2. Step 2: Convert to fraction form
    45.53/62.84 = 27.11/x
  3. Step 3: Cross multiply
    45.53x = 62.84 × 27.11
  4. Step 4: Simplify right side
    45.53x = 1,703.61
  5. Step 5: Solve for x
    x = 1,703.61/45.53
  6. Step 6: Final answer
    x = 37.42

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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.