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Finding the Fourth Proportional to 94.68, 142.68 and 85.86

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Solution

The fourth proportional to 94.68, 142.68 and 85.86 is: 129.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.68 : 142.68 = 85.86 : x
  2. Step 2: Convert to fraction form
    94.68/142.68 = 85.86/x
  3. Step 3: Cross multiply
    94.68x = 142.68 × 85.86
  4. Step 4: Simplify right side
    94.68x = 12,250.50
  5. Step 5: Solve for x
    x = 12,250.50/94.68
  6. Step 6: Final answer
    x = 129.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.