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Finding the Fourth Proportional to 104.94, 144.92 and 104.74

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Solution

The fourth proportional to 104.94, 144.92 and 104.74 is: 144.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.94 : 144.92 = 104.74 : x
  2. Step 2: Convert to fraction form
    104.94/144.92 = 104.74/x
  3. Step 3: Cross multiply
    104.94x = 144.92 × 104.74
  4. Step 4: Simplify right side
    104.94x = 15,178.82
  5. Step 5: Solve for x
    x = 15,178.82/104.94
  6. Step 6: Final answer
    x = 144.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.