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Finding the Fourth Proportional to 69.57, 103.85 and 64.56

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Solution

The fourth proportional to 69.57, 103.85 and 64.56 is: 96.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.57 : 103.85 = 64.56 : x
  2. Step 2: Convert to fraction form
    69.57/103.85 = 64.56/x
  3. Step 3: Cross multiply
    69.57x = 103.85 × 64.56
  4. Step 4: Simplify right side
    69.57x = 6,704.56
  5. Step 5: Solve for x
    x = 6,704.56/69.57
  6. Step 6: Final answer
    x = 96.37

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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.