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Finding the Fourth Proportional to 115.52, 172.16 and 110.08

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Solution

The fourth proportional to 115.52, 172.16 and 110.08 is: 164.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.52 : 172.16 = 110.08 : x
  2. Step 2: Convert to fraction form
    115.52/172.16 = 110.08/x
  3. Step 3: Cross multiply
    115.52x = 172.16 × 110.08
  4. Step 4: Simplify right side
    115.52x = 18,951.37
  5. Step 5: Solve for x
    x = 18,951.37/115.52
  6. Step 6: Final answer
    x = 164.05

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.