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Finding the Fourth Proportional to 173.95, 240.09 and 108.42

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Solution

The fourth proportional to 173.95, 240.09 and 108.42 is: 149.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.95 : 240.09 = 108.42 : x
  2. Step 2: Convert to fraction form
    173.95/240.09 = 108.42/x
  3. Step 3: Cross multiply
    173.95x = 240.09 × 108.42
  4. Step 4: Simplify right side
    173.95x = 26,030.56
  5. Step 5: Solve for x
    x = 26,030.56/173.95
  6. Step 6: Final answer
    x = 149.64

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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.