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Finding the Fourth Proportional to 89.89, 134.36 and 78.23

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Solution

The fourth proportional to 89.89, 134.36 and 78.23 is: 116.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.89 : 134.36 = 78.23 : x
  2. Step 2: Convert to fraction form
    89.89/134.36 = 78.23/x
  3. Step 3: Cross multiply
    89.89x = 134.36 × 78.23
  4. Step 4: Simplify right side
    89.89x = 10,510.42
  5. Step 5: Solve for x
    x = 10,510.42/89.89
  6. Step 6: Final answer
    x = 116.93

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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.