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Finding the Fourth Proportional to 100.34, 150.33 and 89.62

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Solution

The fourth proportional to 100.34, 150.33 and 89.62 is: 134.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.34 : 150.33 = 89.62 : x
  2. Step 2: Convert to fraction form
    100.34/150.33 = 89.62/x
  3. Step 3: Cross multiply
    100.34x = 150.33 × 89.62
  4. Step 4: Simplify right side
    100.34x = 13,472.57
  5. Step 5: Solve for x
    x = 13,472.57/100.34
  6. Step 6: Final answer
    x = 134.27

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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.