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Finding the Fourth Proportional to 52.99, 79.09 and 52.85

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Solution

The fourth proportional to 52.99, 79.09 and 52.85 is: 78.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.99 : 79.09 = 52.85 : x
  2. Step 2: Convert to fraction form
    52.99/79.09 = 52.85/x
  3. Step 3: Cross multiply
    52.99x = 79.09 × 52.85
  4. Step 4: Simplify right side
    52.99x = 4,180.27
  5. Step 5: Solve for x
    x = 4,180.27/52.99
  6. Step 6: Final answer
    x = 78.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.