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Finding the Fourth Proportional to 71.21, 105.98 and 68.96

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Solution

The fourth proportional to 71.21, 105.98 and 68.96 is: 102.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.21 : 105.98 = 68.96 : x
  2. Step 2: Convert to fraction form
    71.21/105.98 = 68.96/x
  3. Step 3: Cross multiply
    71.21x = 105.98 × 68.96
  4. Step 4: Simplify right side
    71.21x = 7,307.51
  5. Step 5: Solve for x
    x = 7,307.51/71.21
  6. Step 6: Final answer
    x = 102.63

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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.