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Finding the Fourth Proportional to 71.09, 106.01 and 69.53

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Solution

The fourth proportional to 71.09, 106.01 and 69.53 is: 103.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.09 : 106.01 = 69.53 : x
  2. Step 2: Convert to fraction form
    71.09/106.01 = 69.53/x
  3. Step 3: Cross multiply
    71.09x = 106.01 × 69.53
  4. Step 4: Simplify right side
    71.09x = 7,370.88
  5. Step 5: Solve for x
    x = 7,370.88/71.09
  6. Step 6: Final answer
    x = 103.68

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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.