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Finding the Fourth Proportional to 144.51, 199.32 and 86.28

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Solution

The fourth proportional to 144.51, 199.32 and 86.28 is: 119.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.51 : 199.32 = 86.28 : x
  2. Step 2: Convert to fraction form
    144.51/199.32 = 86.28/x
  3. Step 3: Cross multiply
    144.51x = 199.32 × 86.28
  4. Step 4: Simplify right side
    144.51x = 17,197.33
  5. Step 5: Solve for x
    x = 17,197.33/144.51
  6. Step 6: Final answer
    x = 119.00

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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.