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Finding the Fourth Proportional to 128.53, 193.16 and 119.35

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Solution

The fourth proportional to 128.53, 193.16 and 119.35 is: 179.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.53 : 193.16 = 119.35 : x
  2. Step 2: Convert to fraction form
    128.53/193.16 = 119.35/x
  3. Step 3: Cross multiply
    128.53x = 193.16 × 119.35
  4. Step 4: Simplify right side
    128.53x = 23,053.65
  5. Step 5: Solve for x
    x = 23,053.65/128.53
  6. Step 6: Final answer
    x = 179.36

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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.