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Finding the Fourth Proportional to 57.22, 78.84 and 38.77

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Solution

The fourth proportional to 57.22, 78.84 and 38.77 is: 53.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.22 : 78.84 = 38.77 : x
  2. Step 2: Convert to fraction form
    57.22/78.84 = 38.77/x
  3. Step 3: Cross multiply
    57.22x = 78.84 × 38.77
  4. Step 4: Simplify right side
    57.22x = 3,056.14
  5. Step 5: Solve for x
    x = 3,056.14/57.22
  6. Step 6: Final answer
    x = 53.41

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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.