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Finding the Fourth Proportional to 120.98, 179.93 and 117.34

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Solution

The fourth proportional to 120.98, 179.93 and 117.34 is: 174.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.98 : 179.93 = 117.34 : x
  2. Step 2: Convert to fraction form
    120.98/179.93 = 117.34/x
  3. Step 3: Cross multiply
    120.98x = 179.93 × 117.34
  4. Step 4: Simplify right side
    120.98x = 21,112.83
  5. Step 5: Solve for x
    x = 21,112.83/120.98
  6. Step 6: Final answer
    x = 174.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.