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Finding the Fourth Proportional to 94.89, 142.23 and 70.95

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Solution

The fourth proportional to 94.89, 142.23 and 70.95 is: 106.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.89 : 142.23 = 70.95 : x
  2. Step 2: Convert to fraction form
    94.89/142.23 = 70.95/x
  3. Step 3: Cross multiply
    94.89x = 142.23 × 70.95
  4. Step 4: Simplify right side
    94.89x = 10,091.22
  5. Step 5: Solve for x
    x = 10,091.22/94.89
  6. Step 6: Final answer
    x = 106.35

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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.