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Finding the Fourth Proportional to 112.51, 155.27 and 82.63

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Solution

The fourth proportional to 112.51, 155.27 and 82.63 is: 114.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.51 : 155.27 = 82.63 : x
  2. Step 2: Convert to fraction form
    112.51/155.27 = 82.63/x
  3. Step 3: Cross multiply
    112.51x = 155.27 × 82.63
  4. Step 4: Simplify right side
    112.51x = 12,828.77
  5. Step 5: Solve for x
    x = 12,828.77/112.51
  6. Step 6: Final answer
    x = 114.03

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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.