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Finding the Fourth Proportional to 173.65, 239.77 and 107.36

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Solution

The fourth proportional to 173.65, 239.77 and 107.36 is: 148.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.65 : 239.77 = 107.36 : x
  2. Step 2: Convert to fraction form
    173.65/239.77 = 107.36/x
  3. Step 3: Cross multiply
    173.65x = 239.77 × 107.36
  4. Step 4: Simplify right side
    173.65x = 25,740.64
  5. Step 5: Solve for x
    x = 25,740.64/173.65
  6. Step 6: Final answer
    x = 148.24

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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.