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Finding the Fourth Proportional to 105.34, 144.96 and 102.32

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Solution

The fourth proportional to 105.34, 144.96 and 102.32 is: 140.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.34 : 144.96 = 102.32 : x
  2. Step 2: Convert to fraction form
    105.34/144.96 = 102.32/x
  3. Step 3: Cross multiply
    105.34x = 144.96 × 102.32
  4. Step 4: Simplify right side
    105.34x = 14,832.31
  5. Step 5: Solve for x
    x = 14,832.31/105.34
  6. Step 6: Final answer
    x = 140.80

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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.