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Finding the Fourth Proportional to 114.50, 170.97 and 94.16

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Solution

The fourth proportional to 114.50, 170.97 and 94.16 is: 140.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.50 : 170.97 = 94.16 : x
  2. Step 2: Convert to fraction form
    114.50/170.97 = 94.16/x
  3. Step 3: Cross multiply
    114.50x = 170.97 × 94.16
  4. Step 4: Simplify right side
    114.50x = 16,098.54
  5. Step 5: Solve for x
    x = 16,098.54/114.50
  6. Step 6: Final answer
    x = 140.60

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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.