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Finding the Fourth Proportional to 73.67, 101.09 and 70.94

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Solution

The fourth proportional to 73.67, 101.09 and 70.94 is: 97.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.67 : 101.09 = 70.94 : x
  2. Step 2: Convert to fraction form
    73.67/101.09 = 70.94/x
  3. Step 3: Cross multiply
    73.67x = 101.09 × 70.94
  4. Step 4: Simplify right side
    73.67x = 7,170.46
  5. Step 5: Solve for x
    x = 7,170.46/73.67
  6. Step 6: Final answer
    x = 97.34

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.