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Finding the Fourth Proportional to 89.07, 122.86 and 78.67

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Solution

The fourth proportional to 89.07, 122.86 and 78.67 is: 108.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.07 : 122.86 = 78.67 : x
  2. Step 2: Convert to fraction form
    89.07/122.86 = 78.67/x
  3. Step 3: Cross multiply
    89.07x = 122.86 × 78.67
  4. Step 4: Simplify right side
    89.07x = 9,665.00
  5. Step 5: Solve for x
    x = 9,665.00/89.07
  6. Step 6: Final answer
    x = 108.52

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Why These Related Problems?

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