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Finding the Fourth Proportional to 144.06, 216.10 and 135.14

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Solution

The fourth proportional to 144.06, 216.10 and 135.14 is: 202.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.06 : 216.10 = 135.14 : x
  2. Step 2: Convert to fraction form
    144.06/216.10 = 135.14/x
  3. Step 3: Cross multiply
    144.06x = 216.10 × 135.14
  4. Step 4: Simplify right side
    144.06x = 29,203.75
  5. Step 5: Solve for x
    x = 29,203.75/144.06
  6. Step 6: Final answer
    x = 202.72

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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.