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Finding the Fourth Proportional to 105.07, 144.91 and 66.23

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Solution

The fourth proportional to 105.07, 144.91 and 66.23 is: 91.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.07 : 144.91 = 66.23 : x
  2. Step 2: Convert to fraction form
    105.07/144.91 = 66.23/x
  3. Step 3: Cross multiply
    105.07x = 144.91 × 66.23
  4. Step 4: Simplify right side
    105.07x = 9,597.39
  5. Step 5: Solve for x
    x = 9,597.39/105.07
  6. Step 6: Final answer
    x = 91.34

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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.