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Finding the Fourth Proportional to 104.89, 144.80 and 86.51

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Solution

The fourth proportional to 104.89, 144.80 and 86.51 is: 119.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.89 : 144.80 = 86.51 : x
  2. Step 2: Convert to fraction form
    104.89/144.80 = 86.51/x
  3. Step 3: Cross multiply
    104.89x = 144.80 × 86.51
  4. Step 4: Simplify right side
    104.89x = 12,526.65
  5. Step 5: Solve for x
    x = 12,526.65/104.89
  6. Step 6: Final answer
    x = 119.43

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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.