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Finding the Fourth Proportional to 71.01, 107.12 and 68.18

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Solution

The fourth proportional to 71.01, 107.12 and 68.18 is: 102.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.01 : 107.12 = 68.18 : x
  2. Step 2: Convert to fraction form
    71.01/107.12 = 68.18/x
  3. Step 3: Cross multiply
    71.01x = 107.12 × 68.18
  4. Step 4: Simplify right side
    71.01x = 7,303.08
  5. Step 5: Solve for x
    x = 7,303.08/71.01
  6. Step 6: Final answer
    x = 102.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.