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Finding the Fourth Proportional to 89.48, 122.72 and 79.76

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Solution

The fourth proportional to 89.48, 122.72 and 79.76 is: 109.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.48 : 122.72 = 79.76 : x
  2. Step 2: Convert to fraction form
    89.48/122.72 = 79.76/x
  3. Step 3: Cross multiply
    89.48x = 122.72 × 79.76
  4. Step 4: Simplify right side
    89.48x = 9,788.15
  5. Step 5: Solve for x
    x = 9,788.15/89.48
  6. Step 6: Final answer
    x = 109.39

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.