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Finding the Fourth Proportional to 134.78, 202.22 and 57.75

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Solution

The fourth proportional to 134.78, 202.22 and 57.75 is: 86.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.78 : 202.22 = 57.75 : x
  2. Step 2: Convert to fraction form
    134.78/202.22 = 57.75/x
  3. Step 3: Cross multiply
    134.78x = 202.22 × 57.75
  4. Step 4: Simplify right side
    134.78x = 11,677.92
  5. Step 5: Solve for x
    x = 11,677.92/134.78
  6. Step 6: Final answer
    x = 86.65

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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.