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Finding the Fourth Proportional to 117.63, 162.19 and 82.78

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Solution

The fourth proportional to 117.63, 162.19 and 82.78 is: 114.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.63 : 162.19 = 82.78 : x
  2. Step 2: Convert to fraction form
    117.63/162.19 = 82.78/x
  3. Step 3: Cross multiply
    117.63x = 162.19 × 82.78
  4. Step 4: Simplify right side
    117.63x = 13,425.79
  5. Step 5: Solve for x
    x = 13,425.79/117.63
  6. Step 6: Final answer
    x = 114.13

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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.