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Finding the Fourth Proportional to 147.09, 221.48 and 121.31

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Solution

The fourth proportional to 147.09, 221.48 and 121.31 is: 182.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.09 : 221.48 = 121.31 : x
  2. Step 2: Convert to fraction form
    147.09/221.48 = 121.31/x
  3. Step 3: Cross multiply
    147.09x = 221.48 × 121.31
  4. Step 4: Simplify right side
    147.09x = 26,866.02
  5. Step 5: Solve for x
    x = 26,866.02/147.09
  6. Step 6: Final answer
    x = 182.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.