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Finding the Fourth Proportional to 89.14, 133.14 and 74.60

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Solution

The fourth proportional to 89.14, 133.14 and 74.60 is: 111.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.14 : 133.14 = 74.60 : x
  2. Step 2: Convert to fraction form
    89.14/133.14 = 74.60/x
  3. Step 3: Cross multiply
    89.14x = 133.14 × 74.60
  4. Step 4: Simplify right side
    89.14x = 9,932.24
  5. Step 5: Solve for x
    x = 9,932.24/89.14
  6. Step 6: Final answer
    x = 111.42

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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.