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Finding the Fourth Proportional to 100.34, 150.34 and 88.73

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Solution

The fourth proportional to 100.34, 150.34 and 88.73 is: 132.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.34 : 150.34 = 88.73 : x
  2. Step 2: Convert to fraction form
    100.34/150.34 = 88.73/x
  3. Step 3: Cross multiply
    100.34x = 150.34 × 88.73
  4. Step 4: Simplify right side
    100.34x = 13,339.67
  5. Step 5: Solve for x
    x = 13,339.67/100.34
  6. Step 6: Final answer
    x = 132.94

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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.