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Finding the Fourth Proportional to 115.09, 172.56 and 97.98

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Solution

The fourth proportional to 115.09, 172.56 and 97.98 is: 146.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.09 : 172.56 = 97.98 : x
  2. Step 2: Convert to fraction form
    115.09/172.56 = 97.98/x
  3. Step 3: Cross multiply
    115.09x = 172.56 × 97.98
  4. Step 4: Simplify right side
    115.09x = 16,907.15
  5. Step 5: Solve for x
    x = 16,907.15/115.09
  6. Step 6: Final answer
    x = 146.91

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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.