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Finding the Fourth Proportional to 105.03, 144.81 and 89.46

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Solution

The fourth proportional to 105.03, 144.81 and 89.46 is: 123.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.03 : 144.81 = 89.46 : x
  2. Step 2: Convert to fraction form
    105.03/144.81 = 89.46/x
  3. Step 3: Cross multiply
    105.03x = 144.81 × 89.46
  4. Step 4: Simplify right side
    105.03x = 12,954.70
  5. Step 5: Solve for x
    x = 12,954.70/105.03
  6. Step 6: Final answer
    x = 123.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.