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Finding the Fourth Proportional to 85.01, 117.09 and 80.69

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Solution

The fourth proportional to 85.01, 117.09 and 80.69 is: 111.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.01 : 117.09 = 80.69 : x
  2. Step 2: Convert to fraction form
    85.01/117.09 = 80.69/x
  3. Step 3: Cross multiply
    85.01x = 117.09 × 80.69
  4. Step 4: Simplify right side
    85.01x = 9,447.41
  5. Step 5: Solve for x
    x = 9,447.41/85.01
  6. Step 6: Final answer
    x = 111.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.