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Finding the Fourth Proportional to 69.95, 104.96 and 39.51

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Solution

The fourth proportional to 69.95, 104.96 and 39.51 is: 59.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.95 : 104.96 = 39.51 : x
  2. Step 2: Convert to fraction form
    69.95/104.96 = 39.51/x
  3. Step 3: Cross multiply
    69.95x = 104.96 × 39.51
  4. Step 4: Simplify right side
    69.95x = 4,146.97
  5. Step 5: Solve for x
    x = 4,146.97/69.95
  6. Step 6: Final answer
    x = 59.28

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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.