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Finding the Fourth Proportional to 96.02, 144.75 and 89.75

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Solution

The fourth proportional to 96.02, 144.75 and 89.75 is: 135.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.02 : 144.75 = 89.75 : x
  2. Step 2: Convert to fraction form
    96.02/144.75 = 89.75/x
  3. Step 3: Cross multiply
    96.02x = 144.75 × 89.75
  4. Step 4: Simplify right side
    96.02x = 12,991.31
  5. Step 5: Solve for x
    x = 12,991.31/96.02
  6. Step 6: Final answer
    x = 135.30

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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.