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Finding the Fourth Proportional to 115.63, 173.48 and 77.26

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Solution

The fourth proportional to 115.63, 173.48 and 77.26 is: 115.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.63 : 173.48 = 77.26 : x
  2. Step 2: Convert to fraction form
    115.63/173.48 = 77.26/x
  3. Step 3: Cross multiply
    115.63x = 173.48 × 77.26
  4. Step 4: Simplify right side
    115.63x = 13,403.19
  5. Step 5: Solve for x
    x = 13,403.19/115.63
  6. Step 6: Final answer
    x = 115.92

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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.