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Finding the Fourth Proportional to 89.05, 122.85 and 64.45

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Solution

The fourth proportional to 89.05, 122.85 and 64.45 is: 88.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.05 : 122.85 = 64.45 : x
  2. Step 2: Convert to fraction form
    89.05/122.85 = 64.45/x
  3. Step 3: Cross multiply
    89.05x = 122.85 × 64.45
  4. Step 4: Simplify right side
    89.05x = 7,917.62
  5. Step 5: Solve for x
    x = 7,917.62/89.05
  6. Step 6: Final answer
    x = 88.91

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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.