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Finding the Fourth Proportional to 102.94, 142.11 and 75.28

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Solution

The fourth proportional to 102.94, 142.11 and 75.28 is: 103.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.94 : 142.11 = 75.28 : x
  2. Step 2: Convert to fraction form
    102.94/142.11 = 75.28/x
  3. Step 3: Cross multiply
    102.94x = 142.11 × 75.28
  4. Step 4: Simplify right side
    102.94x = 10,698.04
  5. Step 5: Solve for x
    x = 10,698.04/102.94
  6. Step 6: Final answer
    x = 103.93

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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.