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Finding the Fourth Proportional to 76.07, 105.02 and 49.50

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Solution

The fourth proportional to 76.07, 105.02 and 49.50 is: 68.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.07 : 105.02 = 49.50 : x
  2. Step 2: Convert to fraction form
    76.07/105.02 = 49.50/x
  3. Step 3: Cross multiply
    76.07x = 105.02 × 49.50
  4. Step 4: Simplify right side
    76.07x = 5,198.43
  5. Step 5: Solve for x
    x = 5,198.43/76.07
  6. Step 6: Final answer
    x = 68.34

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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.