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Finding the Fourth Proportional to 84.66, 126.80 and 70.19

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Solution

The fourth proportional to 84.66, 126.80 and 70.19 is: 105.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.66 : 126.80 = 70.19 : x
  2. Step 2: Convert to fraction form
    84.66/126.80 = 70.19/x
  3. Step 3: Cross multiply
    84.66x = 126.80 × 70.19
  4. Step 4: Simplify right side
    84.66x = 8,899.63
  5. Step 5: Solve for x
    x = 8,899.63/84.66
  6. Step 6: Final answer
    x = 105.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.