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Finding the Fourth Proportional to 52.70, 78.98 and 23.80

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Solution

The fourth proportional to 52.70, 78.98 and 23.80 is: 35.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.70 : 78.98 = 23.80 : x
  2. Step 2: Convert to fraction form
    52.70/78.98 = 23.80/x
  3. Step 3: Cross multiply
    52.70x = 78.98 × 23.80
  4. Step 4: Simplify right side
    52.70x = 1,879.72
  5. Step 5: Solve for x
    x = 1,879.72/52.70
  6. Step 6: Final answer
    x = 35.67

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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.