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Finding the Fourth Proportional to 115.80, 172.44 and 111.14

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Solution

The fourth proportional to 115.80, 172.44 and 111.14 is: 165.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.80 : 172.44 = 111.14 : x
  2. Step 2: Convert to fraction form
    115.80/172.44 = 111.14/x
  3. Step 3: Cross multiply
    115.80x = 172.44 × 111.14
  4. Step 4: Simplify right side
    115.80x = 19,164.12
  5. Step 5: Solve for x
    x = 19,164.12/115.80
  6. Step 6: Final answer
    x = 165.49

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Why These Related Problems?

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