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Finding the Fourth Proportional to 77.99, 117 and 52.34

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Solution

The fourth proportional to 77.99, 117 and 52.34 is: 78.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.99 : 117 = 52.34 : x
  2. Step 2: Convert to fraction form
    77.99/117 = 52.34/x
  3. Step 3: Cross multiply
    77.99x = 117 × 52.34
  4. Step 4: Simplify right side
    77.99x = 6,123.78
  5. Step 5: Solve for x
    x = 6,123.78/77.99
  6. Step 6: Final answer
    x = 78.52

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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.