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Finding the Fourth Proportional to 103.69, 143.09 and 57.06

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Solution

The fourth proportional to 103.69, 143.09 and 57.06 is: 78.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.69 : 143.09 = 57.06 : x
  2. Step 2: Convert to fraction form
    103.69/143.09 = 57.06/x
  3. Step 3: Cross multiply
    103.69x = 143.09 × 57.06
  4. Step 4: Simplify right side
    103.69x = 8,164.72
  5. Step 5: Solve for x
    x = 8,164.72/103.69
  6. Step 6: Final answer
    x = 78.74

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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.