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Finding the Fourth Proportional to 123.38, 170.16 and 94.28

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Solution

The fourth proportional to 123.38, 170.16 and 94.28 is: 130.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.38 : 170.16 = 94.28 : x
  2. Step 2: Convert to fraction form
    123.38/170.16 = 94.28/x
  3. Step 3: Cross multiply
    123.38x = 170.16 × 94.28
  4. Step 4: Simplify right side
    123.38x = 16,042.68
  5. Step 5: Solve for x
    x = 16,042.68/123.38
  6. Step 6: Final answer
    x = 130.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.