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Finding the Fourth Proportional to 94.53, 141.80 and 54.03

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Solution

The fourth proportional to 94.53, 141.80 and 54.03 is: 81.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.53 : 141.80 = 54.03 : x
  2. Step 2: Convert to fraction form
    94.53/141.80 = 54.03/x
  3. Step 3: Cross multiply
    94.53x = 141.80 × 54.03
  4. Step 4: Simplify right side
    94.53x = 7,661.45
  5. Step 5: Solve for x
    x = 7,661.45/94.53
  6. Step 6: Final answer
    x = 81.05

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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.