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Finding the Fourth Proportional to 69.67, 104.53 and 21.58

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Solution

The fourth proportional to 69.67, 104.53 and 21.58 is: 32.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.67 : 104.53 = 21.58 : x
  2. Step 2: Convert to fraction form
    69.67/104.53 = 21.58/x
  3. Step 3: Cross multiply
    69.67x = 104.53 × 21.58
  4. Step 4: Simplify right side
    69.67x = 2,255.76
  5. Step 5: Solve for x
    x = 2,255.76/69.67
  6. Step 6: Final answer
    x = 32.38

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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.