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Finding the Fourth Proportional to 144.01, 216.07 and 121.40

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Solution

The fourth proportional to 144.01, 216.07 and 121.40 is: 182.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.01 : 216.07 = 121.40 : x
  2. Step 2: Convert to fraction form
    144.01/216.07 = 121.40/x
  3. Step 3: Cross multiply
    144.01x = 216.07 × 121.40
  4. Step 4: Simplify right side
    144.01x = 26,230.32
  5. Step 5: Solve for x
    x = 26,230.32/144.01
  6. Step 6: Final answer
    x = 182.14

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