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Finding the Fourth Proportional to 126.40, 174.44 and 84.98

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Solution

The fourth proportional to 126.40, 174.44 and 84.98 is: 117.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.40 : 174.44 = 84.98 : x
  2. Step 2: Convert to fraction form
    126.40/174.44 = 84.98/x
  3. Step 3: Cross multiply
    126.40x = 174.44 × 84.98
  4. Step 4: Simplify right side
    126.40x = 14,823.91
  5. Step 5: Solve for x
    x = 14,823.91/126.40
  6. Step 6: Final answer
    x = 117.28

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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.