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Finding the Fourth Proportional to 144.09, 215.30 and 98.05

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Solution

The fourth proportional to 144.09, 215.30 and 98.05 is: 146.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.09 : 215.30 = 98.05 : x
  2. Step 2: Convert to fraction form
    144.09/215.30 = 98.05/x
  3. Step 3: Cross multiply
    144.09x = 215.30 × 98.05
  4. Step 4: Simplify right side
    144.09x = 21,110.17
  5. Step 5: Solve for x
    x = 21,110.17/144.09
  6. Step 6: Final answer
    x = 146.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.