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Finding the Fourth Proportional to 94.19, 140.69 and 85.68

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Solution

The fourth proportional to 94.19, 140.69 and 85.68 is: 127.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.19 : 140.69 = 85.68 : x
  2. Step 2: Convert to fraction form
    94.19/140.69 = 85.68/x
  3. Step 3: Cross multiply
    94.19x = 140.69 × 85.68
  4. Step 4: Simplify right side
    94.19x = 12,054.53
  5. Step 5: Solve for x
    x = 12,054.53/94.19
  6. Step 6: Final answer
    x = 127.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.