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Finding the Fourth Proportional to 116.10, 159.30 and 110.70

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Solution

The fourth proportional to 116.10, 159.30 and 110.70 is: 151.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.10 : 159.30 = 110.70 : x
  2. Step 2: Convert to fraction form
    116.10/159.30 = 110.70/x
  3. Step 3: Cross multiply
    116.10x = 159.30 × 110.70
  4. Step 4: Simplify right side
    116.10x = 17,634.51
  5. Step 5: Solve for x
    x = 17,634.51/116.10
  6. Step 6: Final answer
    x = 151.89

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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.