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Finding the Fourth Proportional to 144.58, 199.36 and 105.16

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Solution

The fourth proportional to 144.58, 199.36 and 105.16 is: 145.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.58 : 199.36 = 105.16 : x
  2. Step 2: Convert to fraction form
    144.58/199.36 = 105.16/x
  3. Step 3: Cross multiply
    144.58x = 199.36 × 105.16
  4. Step 4: Simplify right side
    144.58x = 20,964.70
  5. Step 5: Solve for x
    x = 20,964.70/144.58
  6. Step 6: Final answer
    x = 145.00

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