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Finding the Fourth Proportional to 57.02, 78.73 and 36.35

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Solution

The fourth proportional to 57.02, 78.73 and 36.35 is: 50.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.02 : 78.73 = 36.35 : x
  2. Step 2: Convert to fraction form
    57.02/78.73 = 36.35/x
  3. Step 3: Cross multiply
    57.02x = 78.73 × 36.35
  4. Step 4: Simplify right side
    57.02x = 2,861.35
  5. Step 5: Solve for x
    x = 2,861.35/57.02
  6. Step 6: Final answer
    x = 50.19

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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.