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Finding the Fourth Proportional to 105.60, 145.01 and 104.12

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Solution

The fourth proportional to 105.60, 145.01 and 104.12 is: 142.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.60 : 145.01 = 104.12 : x
  2. Step 2: Convert to fraction form
    105.60/145.01 = 104.12/x
  3. Step 3: Cross multiply
    105.60x = 145.01 × 104.12
  4. Step 4: Simplify right side
    105.60x = 15,098.44
  5. Step 5: Solve for x
    x = 15,098.44/105.60
  6. Step 6: Final answer
    x = 142.98

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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.