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Finding the Fourth Proportional to 72.27, 106.93 and 72.07

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Solution

The fourth proportional to 72.27, 106.93 and 72.07 is: 106.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.27 : 106.93 = 72.07 : x
  2. Step 2: Convert to fraction form
    72.27/106.93 = 72.07/x
  3. Step 3: Cross multiply
    72.27x = 106.93 × 72.07
  4. Step 4: Simplify right side
    72.27x = 7,706.27
  5. Step 5: Solve for x
    x = 7,706.27/72.27
  6. Step 6: Final answer
    x = 106.63

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.