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Finding the Fourth Proportional to 104.86, 144.81 and 86.50

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Solution

The fourth proportional to 104.86, 144.81 and 86.50 is: 119.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.86 : 144.81 = 86.50 : x
  2. Step 2: Convert to fraction form
    104.86/144.81 = 86.50/x
  3. Step 3: Cross multiply
    104.86x = 144.81 × 86.50
  4. Step 4: Simplify right side
    104.86x = 12,526.07
  5. Step 5: Solve for x
    x = 12,526.07/104.86
  6. Step 6: Final answer
    x = 119.46

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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.