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Finding the Fourth Proportional to 71.07, 106.64 and 68.31

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Solution

The fourth proportional to 71.07, 106.64 and 68.31 is: 102.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.07 : 106.64 = 68.31 : x
  2. Step 2: Convert to fraction form
    71.07/106.64 = 68.31/x
  3. Step 3: Cross multiply
    71.07x = 106.64 × 68.31
  4. Step 4: Simplify right side
    71.07x = 7,284.24
  5. Step 5: Solve for x
    x = 7,284.24/71.07
  6. Step 6: Final answer
    x = 102.49

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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.