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Finding the Fourth Proportional to 116.36, 160.49 and 111.18

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Solution

The fourth proportional to 116.36, 160.49 and 111.18 is: 153.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.36 : 160.49 = 111.18 : x
  2. Step 2: Convert to fraction form
    116.36/160.49 = 111.18/x
  3. Step 3: Cross multiply
    116.36x = 160.49 × 111.18
  4. Step 4: Simplify right side
    116.36x = 17,842.72
  5. Step 5: Solve for x
    x = 17,842.72/116.36
  6. Step 6: Final answer
    x = 153.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.