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Finding the Fourth Proportional to 120.74, 166.63 and 68.99

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Solution

The fourth proportional to 120.74, 166.63 and 68.99 is: 95.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.74 : 166.63 = 68.99 : x
  2. Step 2: Convert to fraction form
    120.74/166.63 = 68.99/x
  3. Step 3: Cross multiply
    120.74x = 166.63 × 68.99
  4. Step 4: Simplify right side
    120.74x = 11,495.63
  5. Step 5: Solve for x
    x = 11,495.63/120.74
  6. Step 6: Final answer
    x = 95.21

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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.