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Finding the Fourth Proportional to 105.37, 145.33 and 77.74

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Solution

The fourth proportional to 105.37, 145.33 and 77.74 is: 107.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.37 : 145.33 = 77.74 : x
  2. Step 2: Convert to fraction form
    105.37/145.33 = 77.74/x
  3. Step 3: Cross multiply
    105.37x = 145.33 × 77.74
  4. Step 4: Simplify right side
    105.37x = 11,297.40
  5. Step 5: Solve for x
    x = 11,297.40/105.37
  6. Step 6: Final answer
    x = 107.22

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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.