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Finding the Fourth Proportional to 52.96, 79.21 and 52.05

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Solution

The fourth proportional to 52.96, 79.21 and 52.05 is: 77.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.96 : 79.21 = 52.05 : x
  2. Step 2: Convert to fraction form
    52.96/79.21 = 52.05/x
  3. Step 3: Cross multiply
    52.96x = 79.21 × 52.05
  4. Step 4: Simplify right side
    52.96x = 4,122.88
  5. Step 5: Solve for x
    x = 4,122.88/52.96
  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.