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Finding the Fourth Proportional to 173.18, 238.93 and 106.77

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Solution

The fourth proportional to 173.18, 238.93 and 106.77 is: 147.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.18 : 238.93 = 106.77 : x
  2. Step 2: Convert to fraction form
    173.18/238.93 = 106.77/x
  3. Step 3: Cross multiply
    173.18x = 238.93 × 106.77
  4. Step 4: Simplify right side
    173.18x = 25,511.19
  5. Step 5: Solve for x
    x = 25,511.19/173.18
  6. Step 6: Final answer
    x = 147.31

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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.