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Finding the Fourth Proportional to 89.34, 133.44 and 67.90

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Solution

The fourth proportional to 89.34, 133.44 and 67.90 is: 101.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.34 : 133.44 = 67.90 : x
  2. Step 2: Convert to fraction form
    89.34/133.44 = 67.90/x
  3. Step 3: Cross multiply
    89.34x = 133.44 × 67.90
  4. Step 4: Simplify right side
    89.34x = 9,060.24
  5. Step 5: Solve for x
    x = 9,060.24/89.34
  6. Step 6: Final answer
    x = 101.41

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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.