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Finding the Fourth Proportional to 116.55, 160.17 and 111.20

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Solution

The fourth proportional to 116.55, 160.17 and 111.20 is: 152.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.55 : 160.17 = 111.20 : x
  2. Step 2: Convert to fraction form
    116.55/160.17 = 111.20/x
  3. Step 3: Cross multiply
    116.55x = 160.17 × 111.20
  4. Step 4: Simplify right side
    116.55x = 17,810.10
  5. Step 5: Solve for x
    x = 17,810.10/116.55
  6. Step 6: Final answer
    x = 152.81

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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.