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Finding the Fourth Proportional to 71.37, 106.49 and 70.97

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Solution

The fourth proportional to 71.37, 106.49 and 70.97 is: 105.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.37 : 106.49 = 70.97 : x
  2. Step 2: Convert to fraction form
    71.37/106.49 = 70.97/x
  3. Step 3: Cross multiply
    71.37x = 106.49 × 70.97
  4. Step 4: Simplify right side
    71.37x = 7,556.71
  5. Step 5: Solve for x
    x = 7,556.71/71.37
  6. Step 6: Final answer
    x = 105.88

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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.