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Finding the Fourth Proportional to 89.41, 133.94 and 75.64

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Solution

The fourth proportional to 89.41, 133.94 and 75.64 is: 113.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.41 : 133.94 = 75.64 : x
  2. Step 2: Convert to fraction form
    89.41/133.94 = 75.64/x
  3. Step 3: Cross multiply
    89.41x = 133.94 × 75.64
  4. Step 4: Simplify right side
    89.41x = 10,130.84
  5. Step 5: Solve for x
    x = 10,130.84/89.41
  6. Step 6: Final answer
    x = 113.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.