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Finding the Fourth Proportional to 85.53, 117.33 and 80.29

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Solution

The fourth proportional to 85.53, 117.33 and 80.29 is: 110.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.53 : 117.33 = 80.29 : x
  2. Step 2: Convert to fraction form
    85.53/117.33 = 80.29/x
  3. Step 3: Cross multiply
    85.53x = 117.33 × 80.29
  4. Step 4: Simplify right side
    85.53x = 9,420.43
  5. Step 5: Solve for x
    x = 9,420.43/85.53
  6. Step 6: Final answer
    x = 110.14

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.