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Finding the Fourth Proportional to 119.61, 164.99 and 72.33

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Solution

The fourth proportional to 119.61, 164.99 and 72.33 is: 99.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.61 : 164.99 = 72.33 : x
  2. Step 2: Convert to fraction form
    119.61/164.99 = 72.33/x
  3. Step 3: Cross multiply
    119.61x = 164.99 × 72.33
  4. Step 4: Simplify right side
    119.61x = 11,932.75
  5. Step 5: Solve for x
    x = 11,932.75/119.61
  6. Step 6: Final answer
    x = 99.77

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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.