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Finding the Fourth Proportional to 94.63, 141.97 and 48.95

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Solution

The fourth proportional to 94.63, 141.97 and 48.95 is: 73.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.63 : 141.97 = 48.95 : x
  2. Step 2: Convert to fraction form
    94.63/141.97 = 48.95/x
  3. Step 3: Cross multiply
    94.63x = 141.97 × 48.95
  4. Step 4: Simplify right side
    94.63x = 6,948.60
  5. Step 5: Solve for x
    x = 6,948.60/94.63
  6. Step 6: Final answer
    x = 73.43

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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.