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Finding the Fourth Proportional to 72.36, 107.63 and 72.13

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Solution

The fourth proportional to 72.36, 107.63 and 72.13 is: 107.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.36 : 107.63 = 72.13 : x
  2. Step 2: Convert to fraction form
    72.36/107.63 = 72.13/x
  3. Step 3: Cross multiply
    72.36x = 107.63 × 72.13
  4. Step 4: Simplify right side
    72.36x = 7,763.35
  5. Step 5: Solve for x
    x = 7,763.35/72.36
  6. Step 6: Final answer
    x = 107.29

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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.