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Finding the Fourth Proportional to 100.46, 150.86 and 96.12

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Solution

The fourth proportional to 100.46, 150.86 and 96.12 is: 144.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.46 : 150.86 = 96.12 : x
  2. Step 2: Convert to fraction form
    100.46/150.86 = 96.12/x
  3. Step 3: Cross multiply
    100.46x = 150.86 × 96.12
  4. Step 4: Simplify right side
    100.46x = 14,500.66
  5. Step 5: Solve for x
    x = 14,500.66/100.46
  6. Step 6: Final answer
    x = 144.34

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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.