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Finding the Fourth Proportional to 73.81, 102.29 and 72.37

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Solution

The fourth proportional to 73.81, 102.29 and 72.37 is: 100.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.81 : 102.29 = 72.37 : x
  2. Step 2: Convert to fraction form
    73.81/102.29 = 72.37/x
  3. Step 3: Cross multiply
    73.81x = 102.29 × 72.37
  4. Step 4: Simplify right side
    73.81x = 7,402.55
  5. Step 5: Solve for x
    x = 7,402.55/73.81
  6. Step 6: Final answer
    x = 100.29

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.