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Finding the Fourth Proportional to 121.12, 167.26 and 107.32

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Solution

The fourth proportional to 121.12, 167.26 and 107.32 is: 148.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.12 : 167.26 = 107.32 : x
  2. Step 2: Convert to fraction form
    121.12/167.26 = 107.32/x
  3. Step 3: Cross multiply
    121.12x = 167.26 × 107.32
  4. Step 4: Simplify right side
    121.12x = 17,950.34
  5. Step 5: Solve for x
    x = 17,950.34/121.12
  6. Step 6: Final answer
    x = 148.20

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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.