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Finding the Fourth Proportional to 100.44, 138.61 and 56.78

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Solution

The fourth proportional to 100.44, 138.61 and 56.78 is: 78.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.44 : 138.61 = 56.78 : x
  2. Step 2: Convert to fraction form
    100.44/138.61 = 56.78/x
  3. Step 3: Cross multiply
    100.44x = 138.61 × 56.78
  4. Step 4: Simplify right side
    100.44x = 7,870.28
  5. Step 5: Solve for x
    x = 7,870.28/100.44
  6. Step 6: Final answer
    x = 78.36

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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.