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Finding the Fourth Proportional to 144.05, 216.90 and 103.75

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Solution

The fourth proportional to 144.05, 216.90 and 103.75 is: 156.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.05 : 216.90 = 103.75 : x
  2. Step 2: Convert to fraction form
    144.05/216.90 = 103.75/x
  3. Step 3: Cross multiply
    144.05x = 216.90 × 103.75
  4. Step 4: Simplify right side
    144.05x = 22,502.83
  5. Step 5: Solve for x
    x = 22,502.83/144.05
  6. Step 6: Final answer
    x = 156.22

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.