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Finding the Fourth Proportional to 114.82, 172.32 and 84.46

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Solution

The fourth proportional to 114.82, 172.32 and 84.46 is: 126.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.82 : 172.32 = 84.46 : x
  2. Step 2: Convert to fraction form
    114.82/172.32 = 84.46/x
  3. Step 3: Cross multiply
    114.82x = 172.32 × 84.46
  4. Step 4: Simplify right side
    114.82x = 14,554.15
  5. Step 5: Solve for x
    x = 14,554.15/114.82
  6. Step 6: Final answer
    x = 126.76

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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.