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Finding the Fourth Proportional to 105.58, 144.84 and 102.88

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Solution

The fourth proportional to 105.58, 144.84 and 102.88 is: 141.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.58 : 144.84 = 102.88 : x
  2. Step 2: Convert to fraction form
    105.58/144.84 = 102.88/x
  3. Step 3: Cross multiply
    105.58x = 144.84 × 102.88
  4. Step 4: Simplify right side
    105.58x = 14,901.14
  5. Step 5: Solve for x
    x = 14,901.14/105.58
  6. Step 6: Final answer
    x = 141.14

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.