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Finding the Fourth Proportional to 115.42, 172.73 and 100.26

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Solution

The fourth proportional to 115.42, 172.73 and 100.26 is: 150.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.42 : 172.73 = 100.26 : x
  2. Step 2: Convert to fraction form
    115.42/172.73 = 100.26/x
  3. Step 3: Cross multiply
    115.42x = 172.73 × 100.26
  4. Step 4: Simplify right side
    115.42x = 17,316.54
  5. Step 5: Solve for x
    x = 17,316.54/115.42
  6. Step 6: Final answer
    x = 150.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.