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Finding the Fourth Proportional to 69.14, 103.20 and 64.38

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Solution

The fourth proportional to 69.14, 103.20 and 64.38 is: 96.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.14 : 103.20 = 64.38 : x
  2. Step 2: Convert to fraction form
    69.14/103.20 = 64.38/x
  3. Step 3: Cross multiply
    69.14x = 103.20 × 64.38
  4. Step 4: Simplify right side
    69.14x = 6,644.02
  5. Step 5: Solve for x
    x = 6,644.02/69.14
  6. Step 6: Final answer
    x = 96.10

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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.