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Finding the Fourth Proportional to 71.09, 106.68 and 35.03

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Solution

The fourth proportional to 71.09, 106.68 and 35.03 is: 52.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.09 : 106.68 = 35.03 : x
  2. Step 2: Convert to fraction form
    71.09/106.68 = 35.03/x
  3. Step 3: Cross multiply
    71.09x = 106.68 × 35.03
  4. Step 4: Simplify right side
    71.09x = 3,736.47
  5. Step 5: Solve for x
    x = 3,736.47/71.09
  6. Step 6: Final answer
    x = 52.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.