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Finding the Fourth Proportional to 100.70, 138.65 and 84.29

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Solution

The fourth proportional to 100.70, 138.65 and 84.29 is: 116.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.70 : 138.65 = 84.29 : x
  2. Step 2: Convert to fraction form
    100.70/138.65 = 84.29/x
  3. Step 3: Cross multiply
    100.70x = 138.65 × 84.29
  4. Step 4: Simplify right side
    100.70x = 11,685.69
  5. Step 5: Solve for x
    x = 11,685.69/100.70
  6. Step 6: Final answer
    x = 116.05

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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.