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Finding the Fourth Proportional to 100.14, 149.19 and 94.97

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Solution

The fourth proportional to 100.14, 149.19 and 94.97 is: 141.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.14 : 149.19 = 94.97 : x
  2. Step 2: Convert to fraction form
    100.14/149.19 = 94.97/x
  3. Step 3: Cross multiply
    100.14x = 149.19 × 94.97
  4. Step 4: Simplify right side
    100.14x = 14,169.13
  5. Step 5: Solve for x
    x = 14,169.13/100.14
  6. Step 6: Final answer
    x = 141.50

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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.