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Finding the Fourth Proportional to 117.84, 162.56 and 82.88

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Solution

The fourth proportional to 117.84, 162.56 and 82.88 is: 114.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.84 : 162.56 = 82.88 : x
  2. Step 2: Convert to fraction form
    117.84/162.56 = 82.88/x
  3. Step 3: Cross multiply
    117.84x = 162.56 × 82.88
  4. Step 4: Simplify right side
    117.84x = 13,472.97
  5. Step 5: Solve for x
    x = 13,472.97/117.84
  6. Step 6: Final answer
    x = 114.33

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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.