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Finding the Fourth Proportional to 116.07, 160.47 and 110.97

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Solution

The fourth proportional to 116.07, 160.47 and 110.97 is: 153.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.07 : 160.47 = 110.97 : x
  2. Step 2: Convert to fraction form
    116.07/160.47 = 110.97/x
  3. Step 3: Cross multiply
    116.07x = 160.47 × 110.97
  4. Step 4: Simplify right side
    116.07x = 17,807.36
  5. Step 5: Solve for x
    x = 17,807.36/116.07
  6. Step 6: Final answer
    x = 153.42

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