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Finding the Fourth Proportional to 90.51, 125.01 and 80.25

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Solution

The fourth proportional to 90.51, 125.01 and 80.25 is: 110.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.51 : 125.01 = 80.25 : x
  2. Step 2: Convert to fraction form
    90.51/125.01 = 80.25/x
  3. Step 3: Cross multiply
    90.51x = 125.01 × 80.25
  4. Step 4: Simplify right side
    90.51x = 10,032.05
  5. Step 5: Solve for x
    x = 10,032.05/90.51
  6. Step 6: Final answer
    x = 110.84

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Why These Related Problems?

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