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Finding the Fourth Proportional to 45.14, 67.74 and 24.86

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Solution

The fourth proportional to 45.14, 67.74 and 24.86 is: 37.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.14 : 67.74 = 24.86 : x
  2. Step 2: Convert to fraction form
    45.14/67.74 = 24.86/x
  3. Step 3: Cross multiply
    45.14x = 67.74 × 24.86
  4. Step 4: Simplify right side
    45.14x = 1,684.02
  5. Step 5: Solve for x
    x = 1,684.02/45.14
  6. Step 6: Final answer
    x = 37.31

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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.