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Finding the Fourth Proportional to 156.06, 215.44 and 121.44

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Solution

The fourth proportional to 156.06, 215.44 and 121.44 is: 167.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.06 : 215.44 = 121.44 : x
  2. Step 2: Convert to fraction form
    156.06/215.44 = 121.44/x
  3. Step 3: Cross multiply
    156.06x = 215.44 × 121.44
  4. Step 4: Simplify right side
    156.06x = 26,163.03
  5. Step 5: Solve for x
    x = 26,163.03/156.06
  6. Step 6: Final answer
    x = 167.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.