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Finding the Fourth Proportional to 89.05, 132.93 and 78.25

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Solution

The fourth proportional to 89.05, 132.93 and 78.25 is: 116.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.05 : 132.93 = 78.25 : x
  2. Step 2: Convert to fraction form
    89.05/132.93 = 78.25/x
  3. Step 3: Cross multiply
    89.05x = 132.93 × 78.25
  4. Step 4: Simplify right side
    89.05x = 10,401.77
  5. Step 5: Solve for x
    x = 10,401.77/89.05
  6. Step 6: Final answer
    x = 116.81

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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.