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Finding the Fourth Proportional to 116.16, 174.54 and 111.42

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Solution

The fourth proportional to 116.16, 174.54 and 111.42 is: 167.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.16 : 174.54 = 111.42 : x
  2. Step 2: Convert to fraction form
    116.16/174.54 = 111.42/x
  3. Step 3: Cross multiply
    116.16x = 174.54 × 111.42
  4. Step 4: Simplify right side
    116.16x = 19,447.25
  5. Step 5: Solve for x
    x = 19,447.25/116.16
  6. Step 6: Final answer
    x = 167.42

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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.