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Finding the Fourth Proportional to 100.44, 149.76 and 96.39

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Solution

The fourth proportional to 100.44, 149.76 and 96.39 is: 143.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.44 : 149.76 = 96.39 : x
  2. Step 2: Convert to fraction form
    100.44/149.76 = 96.39/x
  3. Step 3: Cross multiply
    100.44x = 149.76 × 96.39
  4. Step 4: Simplify right side
    100.44x = 14,435.37
  5. Step 5: Solve for x
    x = 14,435.37/100.44
  6. Step 6: Final answer
    x = 143.72

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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.