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Finding the Fourth Proportional to 89.47, 133.89 and 60.54

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Solution

The fourth proportional to 89.47, 133.89 and 60.54 is: 90.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.47 : 133.89 = 60.54 : x
  2. Step 2: Convert to fraction form
    89.47/133.89 = 60.54/x
  3. Step 3: Cross multiply
    89.47x = 133.89 × 60.54
  4. Step 4: Simplify right side
    89.47x = 8,105.70
  5. Step 5: Solve for x
    x = 8,105.70/89.47
  6. Step 6: Final answer
    x = 90.60

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Why These Related Problems?

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