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Finding the Fourth Proportional to 102.15, 140.82 and 76.23

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Solution

The fourth proportional to 102.15, 140.82 and 76.23 is: 105.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.15 : 140.82 = 76.23 : x
  2. Step 2: Convert to fraction form
    102.15/140.82 = 76.23/x
  3. Step 3: Cross multiply
    102.15x = 140.82 × 76.23
  4. Step 4: Simplify right side
    102.15x = 10,734.71
  5. Step 5: Solve for x
    x = 10,734.71/102.15
  6. Step 6: Final answer
    x = 105.09

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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.