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Finding the Fourth Proportional to 105.23, 145.06 and 74.18

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Solution

The fourth proportional to 105.23, 145.06 and 74.18 is: 102.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.23 : 145.06 = 74.18 : x
  2. Step 2: Convert to fraction form
    105.23/145.06 = 74.18/x
  3. Step 3: Cross multiply
    105.23x = 145.06 × 74.18
  4. Step 4: Simplify right side
    105.23x = 10,760.73
  5. Step 5: Solve for x
    x = 10,760.73/105.23
  6. Step 6: Final answer
    x = 102.26

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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.