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Finding the Fourth Proportional to 71.89, 106.57 and 70.81

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Solution

The fourth proportional to 71.89, 106.57 and 70.81 is: 104.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.89 : 106.57 = 70.81 : x
  2. Step 2: Convert to fraction form
    71.89/106.57 = 70.81/x
  3. Step 3: Cross multiply
    71.89x = 106.57 × 70.81
  4. Step 4: Simplify right side
    71.89x = 7,546.22
  5. Step 5: Solve for x
    x = 7,546.22/71.89
  6. Step 6: Final answer
    x = 104.97

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.