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Finding the Fourth Proportional to 117.69, 162.35 and 68.56

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Solution

The fourth proportional to 117.69, 162.35 and 68.56 is: 94.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.69 : 162.35 = 68.56 : x
  2. Step 2: Convert to fraction form
    117.69/162.35 = 68.56/x
  3. Step 3: Cross multiply
    117.69x = 162.35 × 68.56
  4. Step 4: Simplify right side
    117.69x = 11,131.09
  5. Step 5: Solve for x
    x = 11,131.09/117.69
  6. Step 6: Final answer
    x = 94.58

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