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Finding the Fourth Proportional to 105.09, 145.00 and 68.23

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Solution

The fourth proportional to 105.09, 145.00 and 68.23 is: 94.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.09 : 145.00 = 68.23 : x
  2. Step 2: Convert to fraction form
    105.09/145.00 = 68.23/x
  3. Step 3: Cross multiply
    105.09x = 145.00 × 68.23
  4. Step 4: Simplify right side
    105.09x = 9,893.01
  5. Step 5: Solve for x
    x = 9,893.01/105.09
  6. Step 6: Final answer
    x = 94.14

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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.