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Finding the Fourth Proportional to 94.64, 141.78 and 54.04

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Solution

The fourth proportional to 94.64, 141.78 and 54.04 is: 80.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.64 : 141.78 = 54.04 : x
  2. Step 2: Convert to fraction form
    94.64/141.78 = 54.04/x
  3. Step 3: Cross multiply
    94.64x = 141.78 × 54.04
  4. Step 4: Simplify right side
    94.64x = 7,661.79
  5. Step 5: Solve for x
    x = 7,661.79/94.64
  6. Step 6: Final answer
    x = 80.96

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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.