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Finding the Fourth Proportional to 71.37, 106.31 and 69.75

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Solution

The fourth proportional to 71.37, 106.31 and 69.75 is: 103.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.37 : 106.31 = 69.75 : x
  2. Step 2: Convert to fraction form
    71.37/106.31 = 69.75/x
  3. Step 3: Cross multiply
    71.37x = 106.31 × 69.75
  4. Step 4: Simplify right side
    71.37x = 7,415.30
  5. Step 5: Solve for x
    x = 7,415.30/71.37
  6. Step 6: Final answer
    x = 103.90

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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.