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Finding the Fourth Proportional to 52.06, 78.15 and 51.86

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Solution

The fourth proportional to 52.06, 78.15 and 51.86 is: 77.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.06 : 78.15 = 51.86 : x
  2. Step 2: Convert to fraction form
    52.06/78.15 = 51.86/x
  3. Step 3: Cross multiply
    52.06x = 78.15 × 51.86
  4. Step 4: Simplify right side
    52.06x = 4,052.86
  5. Step 5: Solve for x
    x = 4,052.86/52.06
  6. Step 6: Final answer
    x = 77.85

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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.