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Finding the Fourth Proportional to 154.54, 213.29 and 89.08

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Solution

The fourth proportional to 154.54, 213.29 and 89.08 is: 122.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.54 : 213.29 = 89.08 : x
  2. Step 2: Convert to fraction form
    154.54/213.29 = 89.08/x
  3. Step 3: Cross multiply
    154.54x = 213.29 × 89.08
  4. Step 4: Simplify right side
    154.54x = 18,999.87
  5. Step 5: Solve for x
    x = 18,999.87/154.54
  6. Step 6: Final answer
    x = 122.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.