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Finding the Fourth Proportional to 89.17, 122.72 and 78.77

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Solution

The fourth proportional to 89.17, 122.72 and 78.77 is: 108.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.17 : 122.72 = 78.77 : x
  2. Step 2: Convert to fraction form
    89.17/122.72 = 78.77/x
  3. Step 3: Cross multiply
    89.17x = 122.72 × 78.77
  4. Step 4: Simplify right side
    89.17x = 9,666.57
  5. Step 5: Solve for x
    x = 9,666.57/89.17
  6. Step 6: Final answer
    x = 108.41

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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.