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Finding the Fourth Proportional to 115.40, 172.28 and 111.14

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Solution

The fourth proportional to 115.40, 172.28 and 111.14 is: 165.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.40 : 172.28 = 111.14 : x
  2. Step 2: Convert to fraction form
    115.40/172.28 = 111.14/x
  3. Step 3: Cross multiply
    115.40x = 172.28 × 111.14
  4. Step 4: Simplify right side
    115.40x = 19,147.20
  5. Step 5: Solve for x
    x = 19,147.20/115.40
  6. Step 6: Final answer
    x = 165.92

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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.