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Finding the Fourth Proportional to 144.64, 216.44 and 121.60

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Solution

The fourth proportional to 144.64, 216.44 and 121.60 is: 181.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.64 : 216.44 = 121.60 : x
  2. Step 2: Convert to fraction form
    144.64/216.44 = 121.60/x
  3. Step 3: Cross multiply
    144.64x = 216.44 × 121.60
  4. Step 4: Simplify right side
    144.64x = 26,319.10
  5. Step 5: Solve for x
    x = 26,319.10/144.64
  6. Step 6: Final answer
    x = 181.96

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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.