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Finding the Fourth Proportional to 121, 180.43 and 112.18

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Solution

The fourth proportional to 121, 180.43 and 112.18 is: 167.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    121 : 180.43 = 112.18 : x
  2. Step 2: Convert to fraction form
    121/180.43 = 112.18/x
  3. Step 3: Cross multiply
    121x = 180.43 × 112.18
  4. Step 4: Simplify right side
    121x = 20,240.64
  5. Step 5: Solve for x
    x = 20,240.64/121
  6. Step 6: Final answer
    x = 167.28

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