Finding the Fourth Proportional to 147.24, 220.76 and 51
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Solution
The fourth proportional to 147.24, 220.76 and 51 is: 76.47
Step by Step Solution
- Step 1: Write the proportion equation
147.24 : 220.76 = 51 : x - Step 2: Convert to fraction form
147.24/220.76 = 51/x - Step 3: Cross multiply
147.24x = 220.76 × 51 - Step 4: Simplify right side
147.24x = 11,258.76 - Step 5: Solve for x
x = 11,258.76/147.24 - Step 6: Final answer
x = 76.47
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.