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Finding the Fourth Proportional to 69.93, 104.31 and 65.37

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Solution

The fourth proportional to 69.93, 104.31 and 65.37 is: 97.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.93 : 104.31 = 65.37 : x
  2. Step 2: Convert to fraction form
    69.93/104.31 = 65.37/x
  3. Step 3: Cross multiply
    69.93x = 104.31 × 65.37
  4. Step 4: Simplify right side
    69.93x = 6,818.74
  5. Step 5: Solve for x
    x = 6,818.74/69.93
  6. Step 6: Final answer
    x = 97.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.