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Finding the Fourth Proportional to 102.93, 142.25 and 83.76

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Solution

The fourth proportional to 102.93, 142.25 and 83.76 is: 115.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.93 : 142.25 = 83.76 : x
  2. Step 2: Convert to fraction form
    102.93/142.25 = 83.76/x
  3. Step 3: Cross multiply
    102.93x = 142.25 × 83.76
  4. Step 4: Simplify right side
    102.93x = 11,914.44
  5. Step 5: Solve for x
    x = 11,914.44/102.93
  6. Step 6: Final answer
    x = 115.75

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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.