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Finding the Fourth Proportional to 119.45, 164.85 and 72.82

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Solution

The fourth proportional to 119.45, 164.85 and 72.82 is: 100.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.45 : 164.85 = 72.82 : x
  2. Step 2: Convert to fraction form
    119.45/164.85 = 72.82/x
  3. Step 3: Cross multiply
    119.45x = 164.85 × 72.82
  4. Step 4: Simplify right side
    119.45x = 12,004.01
  5. Step 5: Solve for x
    x = 12,004.01/119.45
  6. Step 6: Final answer
    x = 100.50

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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.