Finding the Fourth Proportional to 76.64, 105.52 and 71.18
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Solution
The fourth proportional to 76.64, 105.52 and 71.18 is: 97.99
Step by Step Solution
- Step 1: Write the proportion equation
76.64 : 105.52 = 71.18 : x - Step 2: Convert to fraction form
76.64/105.52 = 71.18/x - Step 3: Cross multiply
76.64x = 105.52 × 71.18 - Step 4: Simplify right side
76.64x = 7,510.03 - Step 5: Solve for x
x = 7,510.03/76.64 - Step 6: Final answer
x = 97.99
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.