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Finding the Fourth Proportional to 115.90, 173.77 and 61.12

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Solution

The fourth proportional to 115.90, 173.77 and 61.12 is: 91.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.90 : 173.77 = 61.12 : x
  2. Step 2: Convert to fraction form
    115.90/173.77 = 61.12/x
  3. Step 3: Cross multiply
    115.90x = 173.77 × 61.12
  4. Step 4: Simplify right side
    115.90x = 10,620.82
  5. Step 5: Solve for x
    x = 10,620.82/115.90
  6. Step 6: Final answer
    x = 91.64

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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.