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Finding the Fourth Proportional to 100.70, 138.89 and 84.69

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Solution

The fourth proportional to 100.70, 138.89 and 84.69 is: 116.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.70 : 138.89 = 84.69 : x
  2. Step 2: Convert to fraction form
    100.70/138.89 = 84.69/x
  3. Step 3: Cross multiply
    100.70x = 138.89 × 84.69
  4. Step 4: Simplify right side
    100.70x = 11,762.81
  5. Step 5: Solve for x
    x = 11,762.81/100.70
  6. Step 6: Final answer
    x = 116.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.