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Finding the Fourth Proportional to 105.80, 145.96 and 67.01

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Solution

The fourth proportional to 105.80, 145.96 and 67.01 is: 92.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.80 : 145.96 = 67.01 : x
  2. Step 2: Convert to fraction form
    105.80/145.96 = 67.01/x
  3. Step 3: Cross multiply
    105.80x = 145.96 × 67.01
  4. Step 4: Simplify right side
    105.80x = 9,779.88
  5. Step 5: Solve for x
    x = 9,779.88/105.80
  6. Step 6: Final answer
    x = 92.44

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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.