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Finding the Fourth Proportional to 144.07, 215.64 and 126.07

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Solution

The fourth proportional to 144.07, 215.64 and 126.07 is: 188.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.07 : 215.64 = 126.07 : x
  2. Step 2: Convert to fraction form
    144.07/215.64 = 126.07/x
  3. Step 3: Cross multiply
    144.07x = 215.64 × 126.07
  4. Step 4: Simplify right side
    144.07x = 27,185.73
  5. Step 5: Solve for x
    x = 27,185.73/144.07
  6. Step 6: Final answer
    x = 188.70

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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.