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Finding the Fourth Proportional to 77.99, 117.02 and 49.10

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Solution

The fourth proportional to 77.99, 117.02 and 49.10 is: 73.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.99 : 117.02 = 49.10 : x
  2. Step 2: Convert to fraction form
    77.99/117.02 = 49.10/x
  3. Step 3: Cross multiply
    77.99x = 117.02 × 49.10
  4. Step 4: Simplify right side
    77.99x = 5,745.22
  5. Step 5: Solve for x
    x = 5,745.22/77.99
  6. Step 6: Final answer
    x = 73.67

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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.