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Finding the Fourth Proportional to 96.10, 144.10 and 55.54

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Solution

The fourth proportional to 96.10, 144.10 and 55.54 is: 83.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.10 : 144.10 = 55.54 : x
  2. Step 2: Convert to fraction form
    96.10/144.10 = 55.54/x
  3. Step 3: Cross multiply
    96.10x = 144.10 × 55.54
  4. Step 4: Simplify right side
    96.10x = 8,003.31
  5. Step 5: Solve for x
    x = 8,003.31/96.10
  6. Step 6: Final answer
    x = 83.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.