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Finding the Fourth Proportional to 102.76, 141.90 and 76.84

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Solution

The fourth proportional to 102.76, 141.90 and 76.84 is: 106.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.76 : 141.90 = 76.84 : x
  2. Step 2: Convert to fraction form
    102.76/141.90 = 76.84/x
  3. Step 3: Cross multiply
    102.76x = 141.90 × 76.84
  4. Step 4: Simplify right side
    102.76x = 10,903.60
  5. Step 5: Solve for x
    x = 10,903.60/102.76
  6. Step 6: Final answer
    x = 106.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.