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Finding the Fourth Proportional to 126.80, 174.98 and 68.58

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Solution

The fourth proportional to 126.80, 174.98 and 68.58 is: 94.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.80 : 174.98 = 68.58 : x
  2. Step 2: Convert to fraction form
    126.80/174.98 = 68.58/x
  3. Step 3: Cross multiply
    126.80x = 174.98 × 68.58
  4. Step 4: Simplify right side
    126.80x = 12,000.66
  5. Step 5: Solve for x
    x = 12,000.66/126.80
  6. Step 6: Final answer
    x = 94.64

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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.