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Finding the Fourth Proportional to 89.57, 133.88 and 69.06

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Solution

The fourth proportional to 89.57, 133.88 and 69.06 is: 103.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.57 : 133.88 = 69.06 : x
  2. Step 2: Convert to fraction form
    89.57/133.88 = 69.06/x
  3. Step 3: Cross multiply
    89.57x = 133.88 × 69.06
  4. Step 4: Simplify right side
    89.57x = 9,245.41
  5. Step 5: Solve for x
    x = 9,245.41/89.57
  6. Step 6: Final answer
    x = 103.23

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.