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Finding the Fourth Proportional to 73.26, 101.09 and 40.06

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Solution

The fourth proportional to 73.26, 101.09 and 40.06 is: 55.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.26 : 101.09 = 40.06 : x
  2. Step 2: Convert to fraction form
    73.26/101.09 = 40.06/x
  3. Step 3: Cross multiply
    73.26x = 101.09 × 40.06
  4. Step 4: Simplify right side
    73.26x = 4,050.12
  5. Step 5: Solve for x
    x = 4,050.12/73.26
  6. Step 6: Final answer
    x = 55.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.