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Finding the Fourth Proportional to 105.90, 145.83 and 73.09

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Solution

The fourth proportional to 105.90, 145.83 and 73.09 is: 100.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.90 : 145.83 = 73.09 : x
  2. Step 2: Convert to fraction form
    105.90/145.83 = 73.09/x
  3. Step 3: Cross multiply
    105.90x = 145.83 × 73.09
  4. Step 4: Simplify right side
    105.90x = 10,658.71
  5. Step 5: Solve for x
    x = 10,658.71/105.90
  6. Step 6: Final answer
    x = 100.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.