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Finding the Fourth Proportional to 95.02, 142.73 and 54.45

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Solution

The fourth proportional to 95.02, 142.73 and 54.45 is: 81.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.02 : 142.73 = 54.45 : x
  2. Step 2: Convert to fraction form
    95.02/142.73 = 54.45/x
  3. Step 3: Cross multiply
    95.02x = 142.73 × 54.45
  4. Step 4: Simplify right side
    95.02x = 7,771.65
  5. Step 5: Solve for x
    x = 7,771.65/95.02
  6. Step 6: Final answer
    x = 81.79

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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.