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Finding the Fourth Proportional to 69.68, 104.54 and 53.46

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Solution

The fourth proportional to 69.68, 104.54 and 53.46 is: 80.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.68 : 104.54 = 53.46 : x
  2. Step 2: Convert to fraction form
    69.68/104.54 = 53.46/x
  3. Step 3: Cross multiply
    69.68x = 104.54 × 53.46
  4. Step 4: Simplify right side
    69.68x = 5,588.71
  5. Step 5: Solve for x
    x = 5,588.71/69.68
  6. Step 6: Final answer
    x = 80.21

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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.