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Finding the Fourth Proportional to 69.64, 104.86 and 50.51

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Solution

The fourth proportional to 69.64, 104.86 and 50.51 is: 76.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.64 : 104.86 = 50.51 : x
  2. Step 2: Convert to fraction form
    69.64/104.86 = 50.51/x
  3. Step 3: Cross multiply
    69.64x = 104.86 × 50.51
  4. Step 4: Simplify right side
    69.64x = 5,296.48
  5. Step 5: Solve for x
    x = 5,296.48/69.64
  6. Step 6: Final answer
    x = 76.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.