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Finding the Fourth Proportional to 147.66, 221.37 and 120.32

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Solution

The fourth proportional to 147.66, 221.37 and 120.32 is: 180.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.66 : 221.37 = 120.32 : x
  2. Step 2: Convert to fraction form
    147.66/221.37 = 120.32/x
  3. Step 3: Cross multiply
    147.66x = 221.37 × 120.32
  4. Step 4: Simplify right side
    147.66x = 26,634.13
  5. Step 5: Solve for x
    x = 26,634.13/147.66
  6. Step 6: Final answer
    x = 180.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.