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Finding the Fourth Proportional to 72.78, 108.44 and 72.06

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Solution

The fourth proportional to 72.78, 108.44 and 72.06 is: 107.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.78 : 108.44 = 72.06 : x
  2. Step 2: Convert to fraction form
    72.78/108.44 = 72.06/x
  3. Step 3: Cross multiply
    72.78x = 108.44 × 72.06
  4. Step 4: Simplify right side
    72.78x = 7,813.83
  5. Step 5: Solve for x
    x = 7,813.83/72.78
  6. Step 6: Final answer
    x = 107.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.