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Finding the Fourth Proportional to 89.34, 133.40 and 75.84

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Solution

The fourth proportional to 89.34, 133.40 and 75.84 is: 113.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.34 : 133.40 = 75.84 : x
  2. Step 2: Convert to fraction form
    89.34/133.40 = 75.84/x
  3. Step 3: Cross multiply
    89.34x = 133.40 × 75.84
  4. Step 4: Simplify right side
    89.34x = 10,116.68
  5. Step 5: Solve for x
    x = 10,116.68/89.34
  6. Step 6: Final answer
    x = 113.24

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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.