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Finding the Fourth Proportional to 57.78, 86.51 and 49.05

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Solution

The fourth proportional to 57.78, 86.51 and 49.05 is: 73.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.78 : 86.51 = 49.05 : x
  2. Step 2: Convert to fraction form
    57.78/86.51 = 49.05/x
  3. Step 3: Cross multiply
    57.78x = 86.51 × 49.05
  4. Step 4: Simplify right side
    57.78x = 4,243.07
  5. Step 5: Solve for x
    x = 4,243.07/57.78
  6. Step 6: Final answer
    x = 73.43

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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.