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Finding the Fourth Proportional to 105.06, 144.87 and 70.02

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Solution

The fourth proportional to 105.06, 144.87 and 70.02 is: 96.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.06 : 144.87 = 70.02 : x
  2. Step 2: Convert to fraction form
    105.06/144.87 = 70.02/x
  3. Step 3: Cross multiply
    105.06x = 144.87 × 70.02
  4. Step 4: Simplify right side
    105.06x = 10,143.80
  5. Step 5: Solve for x
    x = 10,143.80/105.06
  6. Step 6: Final answer
    x = 96.55

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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.