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Finding the Fourth Proportional to 69.64, 105.25 and 65.68

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Solution

The fourth proportional to 69.64, 105.25 and 65.68 is: 99.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.64 : 105.25 = 65.68 : x
  2. Step 2: Convert to fraction form
    69.64/105.25 = 65.68/x
  3. Step 3: Cross multiply
    69.64x = 105.25 × 65.68
  4. Step 4: Simplify right side
    69.64x = 6,912.82
  5. Step 5: Solve for x
    x = 6,912.82/69.64
  6. Step 6: Final answer
    x = 99.27

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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.