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Finding the Fourth Proportional to 116.93, 160.67 and 111.57

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Solution

The fourth proportional to 116.93, 160.67 and 111.57 is: 153.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.93 : 160.67 = 111.57 : x
  2. Step 2: Convert to fraction form
    116.93/160.67 = 111.57/x
  3. Step 3: Cross multiply
    116.93x = 160.67 × 111.57
  4. Step 4: Simplify right side
    116.93x = 17,926.23
  5. Step 5: Solve for x
    x = 17,926.23/116.93
  6. Step 6: Final answer
    x = 153.31

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.