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Finding the Fourth Proportional to 100.23, 150.39 and 31.75

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Solution

The fourth proportional to 100.23, 150.39 and 31.75 is: 47.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.23 : 150.39 = 31.75 : x
  2. Step 2: Convert to fraction form
    100.23/150.39 = 31.75/x
  3. Step 3: Cross multiply
    100.23x = 150.39 × 31.75
  4. Step 4: Simplify right side
    100.23x = 4,774.72
  5. Step 5: Solve for x
    x = 4,774.72/100.23
  6. Step 6: Final answer
    x = 47.64

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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.