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Finding the Fourth Proportional to 76.99, 106.22 and 47.46

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Solution

The fourth proportional to 76.99, 106.22 and 47.46 is: 65.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.99 : 106.22 = 47.46 : x
  2. Step 2: Convert to fraction form
    76.99/106.22 = 47.46/x
  3. Step 3: Cross multiply
    76.99x = 106.22 × 47.46
  4. Step 4: Simplify right side
    76.99x = 5,040.96
  5. Step 5: Solve for x
    x = 5,040.96/76.99
  6. Step 6: Final answer
    x = 65.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.