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Finding the Fourth Proportional to 100.69, 138.96 and 57.02

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Solution

The fourth proportional to 100.69, 138.96 and 57.02 is: 78.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.69 : 138.96 = 57.02 : x
  2. Step 2: Convert to fraction form
    100.69/138.96 = 57.02/x
  3. Step 3: Cross multiply
    100.69x = 138.96 × 57.02
  4. Step 4: Simplify right side
    100.69x = 7,922.80
  5. Step 5: Solve for x
    x = 7,922.80/100.69
  6. Step 6: Final answer
    x = 78.69

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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.