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Finding the Fourth Proportional to 130.44, 179.94 and 83.78

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Solution

The fourth proportional to 130.44, 179.94 and 83.78 is: 115.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.44 : 179.94 = 83.78 : x
  2. Step 2: Convert to fraction form
    130.44/179.94 = 83.78/x
  3. Step 3: Cross multiply
    130.44x = 179.94 × 83.78
  4. Step 4: Simplify right side
    130.44x = 15,075.37
  5. Step 5: Solve for x
    x = 15,075.37/130.44
  6. Step 6: Final answer
    x = 115.57

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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.