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Finding the Fourth Proportional to 102.30, 141.09 and 76.02

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Solution

The fourth proportional to 102.30, 141.09 and 76.02 is: 104.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.30 : 141.09 = 76.02 : x
  2. Step 2: Convert to fraction form
    102.30/141.09 = 76.02/x
  3. Step 3: Cross multiply
    102.30x = 141.09 × 76.02
  4. Step 4: Simplify right side
    102.30x = 10,725.66
  5. Step 5: Solve for x
    x = 10,725.66/102.30
  6. Step 6: Final answer
    x = 104.85

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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.