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Finding the Fourth Proportional to 110.15, 164.41 and 102

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Solution

The fourth proportional to 110.15, 164.41 and 102 is: 152.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.15 : 164.41 = 102 : x
  2. Step 2: Convert to fraction form
    110.15/164.41 = 102/x
  3. Step 3: Cross multiply
    110.15x = 164.41 × 102
  4. Step 4: Simplify right side
    110.15x = 16,769.82
  5. Step 5: Solve for x
    x = 16,769.82/110.15
  6. Step 6: Final answer
    x = 152.25

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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.