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Finding the Fourth Proportional to 78.26, 107.30 and 74.00

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Solution

The fourth proportional to 78.26, 107.30 and 74.00 is: 101.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.26 : 107.30 = 74.00 : x
  2. Step 2: Convert to fraction form
    78.26/107.30 = 74.00/x
  3. Step 3: Cross multiply
    78.26x = 107.30 × 74.00
  4. Step 4: Simplify right side
    78.26x = 7,940.65
  5. Step 5: Solve for x
    x = 7,940.65/78.26
  6. Step 6: Final answer
    x = 101.47

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.