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Finding the Fourth Proportional to 45.31, 62.53 and 27.82

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Solution

The fourth proportional to 45.31, 62.53 and 27.82 is: 38.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.31 : 62.53 = 27.82 : x
  2. Step 2: Convert to fraction form
    45.31/62.53 = 27.82/x
  3. Step 3: Cross multiply
    45.31x = 62.53 × 27.82
  4. Step 4: Simplify right side
    45.31x = 1,739.58
  5. Step 5: Solve for x
    x = 1,739.58/45.31
  6. Step 6: Final answer
    x = 38.39

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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.