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Finding the Fourth Proportional to 126.51, 174.57 and 82.84

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Solution

The fourth proportional to 126.51, 174.57 and 82.84 is: 114.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.51 : 174.57 = 82.84 : x
  2. Step 2: Convert to fraction form
    126.51/174.57 = 82.84/x
  3. Step 3: Cross multiply
    126.51x = 174.57 × 82.84
  4. Step 4: Simplify right side
    126.51x = 14,460.51
  5. Step 5: Solve for x
    x = 14,460.51/126.51
  6. Step 6: Final answer
    x = 114.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.