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Finding the Fourth Proportional to 94.16, 141.33 and 48.54

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Solution

The fourth proportional to 94.16, 141.33 and 48.54 is: 72.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.16 : 141.33 = 48.54 : x
  2. Step 2: Convert to fraction form
    94.16/141.33 = 48.54/x
  3. Step 3: Cross multiply
    94.16x = 141.33 × 48.54
  4. Step 4: Simplify right side
    94.16x = 6,860.87
  5. Step 5: Solve for x
    x = 6,860.87/94.16
  6. Step 6: Final answer
    x = 72.86

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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.