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Finding the Fourth Proportional to 68.60, 102.90 and 50.68

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Solution

The fourth proportional to 68.60, 102.90 and 50.68 is: 76.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.60 : 102.90 = 50.68 : x
  2. Step 2: Convert to fraction form
    68.60/102.90 = 50.68/x
  3. Step 3: Cross multiply
    68.60x = 102.90 × 50.68
  4. Step 4: Simplify right side
    68.60x = 5,214.90
  5. Step 5: Solve for x
    x = 5,214.90/68.60
  6. Step 6: Final answer
    x = 76.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.