Finding the Fourth Proportional to 109.96, 164.58 and 67
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Solution
The fourth proportional to 109.96, 164.58 and 67 is: 100.28
Step by Step Solution
- Step 1: Write the proportion equation
109.96 : 164.58 = 67 : x - Step 2: Convert to fraction form
109.96/164.58 = 67/x - Step 3: Cross multiply
109.96x = 164.58 × 67 - Step 4: Simplify right side
109.96x = 11,026.86 - Step 5: Solve for x
x = 11,026.86/109.96 - Step 6: Final answer
x = 100.28
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.