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Finding the Fourth Proportional to 100.38, 150 and 88.23

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Solution

The fourth proportional to 100.38, 150 and 88.23 is: 131.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.38 : 150 = 88.23 : x
  2. Step 2: Convert to fraction form
    100.38/150 = 88.23/x
  3. Step 3: Cross multiply
    100.38x = 150 × 88.23
  4. Step 4: Simplify right side
    100.38x = 13,234.50
  5. Step 5: Solve for x
    x = 13,234.50/100.38
  6. Step 6: Final answer
    x = 131.84

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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.