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