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Finding the Fourth Proportional to 119.69, 179.54 and 38.53

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Solution

The fourth proportional to 119.69, 179.54 and 38.53 is: 57.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.69 : 179.54 = 38.53 : x
  2. Step 2: Convert to fraction form
    119.69/179.54 = 38.53/x
  3. Step 3: Cross multiply
    119.69x = 179.54 × 38.53
  4. Step 4: Simplify right side
    119.69x = 6,917.71
  5. Step 5: Solve for x
    x = 6,917.71/119.69
  6. Step 6: Final answer
    x = 57.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.