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Finding the Fourth Proportional to 45.78, 63.12 and 43.86

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Solution

The fourth proportional to 45.78, 63.12 and 43.86 is: 60.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.78 : 63.12 = 43.86 : x
  2. Step 2: Convert to fraction form
    45.78/63.12 = 43.86/x
  3. Step 3: Cross multiply
    45.78x = 63.12 × 43.86
  4. Step 4: Simplify right side
    45.78x = 2,768.44
  5. Step 5: Solve for x
    x = 2,768.44/45.78
  6. Step 6: Final answer
    x = 60.47

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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.