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Finding the Fourth Proportional to 57.02, 86.02 and 51.08

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Solution

The fourth proportional to 57.02, 86.02 and 51.08 is: 77.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.02 : 86.02 = 51.08 : x
  2. Step 2: Convert to fraction form
    57.02/86.02 = 51.08/x
  3. Step 3: Cross multiply
    57.02x = 86.02 × 51.08
  4. Step 4: Simplify right side
    57.02x = 4,393.90
  5. Step 5: Solve for x
    x = 4,393.90/57.02
  6. Step 6: Final answer
    x = 77.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.