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Finding the Fourth Proportional to 72.06, 107.46 and 68.16

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Solution

The fourth proportional to 72.06, 107.46 and 68.16 is: 101.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.06 : 107.46 = 68.16 : x
  2. Step 2: Convert to fraction form
    72.06/107.46 = 68.16/x
  3. Step 3: Cross multiply
    72.06x = 107.46 × 68.16
  4. Step 4: Simplify right side
    72.06x = 7,324.47
  5. Step 5: Solve for x
    x = 7,324.47/72.06
  6. Step 6: Final answer
    x = 101.64

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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.