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Finding the Fourth Proportional to 57.20, 78.62 and 53.34

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Solution

The fourth proportional to 57.20, 78.62 and 53.34 is: 73.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.20 : 78.62 = 53.34 : x
  2. Step 2: Convert to fraction form
    57.20/78.62 = 53.34/x
  3. Step 3: Cross multiply
    57.20x = 78.62 × 53.34
  4. Step 4: Simplify right side
    57.20x = 4,193.59
  5. Step 5: Solve for x
    x = 4,193.59/57.20
  6. Step 6: Final answer
    x = 73.31

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.