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Finding the Fourth Proportional to 110.51, 164.99 and 84.70

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Solution

The fourth proportional to 110.51, 164.99 and 84.70 is: 126.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.51 : 164.99 = 84.70 : x
  2. Step 2: Convert to fraction form
    110.51/164.99 = 84.70/x
  3. Step 3: Cross multiply
    110.51x = 164.99 × 84.70
  4. Step 4: Simplify right side
    110.51x = 13,973.40
  5. Step 5: Solve for x
    x = 13,973.40/110.51
  6. Step 6: Final answer
    x = 126.44

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.