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Finding the Fourth Proportional to 144.76, 199.58 and 105.29

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Solution

The fourth proportional to 144.76, 199.58 and 105.29 is: 145.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.76 : 199.58 = 105.29 : x
  2. Step 2: Convert to fraction form
    144.76/199.58 = 105.29/x
  3. Step 3: Cross multiply
    144.76x = 199.58 × 105.29
  4. Step 4: Simplify right side
    144.76x = 21,013.59
  5. Step 5: Solve for x
    x = 21,013.59/144.76
  6. Step 6: Final answer
    x = 145.16

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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.