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Finding the Fourth Proportional to 105.06, 144.60 and 77.36

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Solution

The fourth proportional to 105.06, 144.60 and 77.36 is: 106.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.06 : 144.60 = 77.36 : x
  2. Step 2: Convert to fraction form
    105.06/144.60 = 77.36/x
  3. Step 3: Cross multiply
    105.06x = 144.60 × 77.36
  4. Step 4: Simplify right side
    105.06x = 11,186.26
  5. Step 5: Solve for x
    x = 11,186.26/105.06
  6. Step 6: Final answer
    x = 106.47

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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.