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Finding the Fourth Proportional to 89.24, 133.20 and 78.44

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Solution

The fourth proportional to 89.24, 133.20 and 78.44 is: 117.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.24 : 133.20 = 78.44 : x
  2. Step 2: Convert to fraction form
    89.24/133.20 = 78.44/x
  3. Step 3: Cross multiply
    89.24x = 133.20 × 78.44
  4. Step 4: Simplify right side
    89.24x = 10,448.21
  5. Step 5: Solve for x
    x = 10,448.21/89.24
  6. Step 6: Final answer
    x = 117.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.