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Finding the Fourth Proportional to 102.84, 141.75 and 76.92

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Solution

The fourth proportional to 102.84, 141.75 and 76.92 is: 106.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.84 : 141.75 = 76.92 : x
  2. Step 2: Convert to fraction form
    102.84/141.75 = 76.92/x
  3. Step 3: Cross multiply
    102.84x = 141.75 × 76.92
  4. Step 4: Simplify right side
    102.84x = 10,903.41
  5. Step 5: Solve for x
    x = 10,903.41/102.84
  6. Step 6: Final answer
    x = 106.02

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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.