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Finding the Fourth Proportional to 68.68, 103.10 and 53.29

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Solution

The fourth proportional to 68.68, 103.10 and 53.29 is: 79.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.68 : 103.10 = 53.29 : x
  2. Step 2: Convert to fraction form
    68.68/103.10 = 53.29/x
  3. Step 3: Cross multiply
    68.68x = 103.10 × 53.29
  4. Step 4: Simplify right side
    68.68x = 5,493.67
  5. Step 5: Solve for x
    x = 5,493.67/68.68
  6. Step 6: Final answer
    x = 79.99

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