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Finding the Fourth Proportional to 103.50, 142.86 and 77.70

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Solution

The fourth proportional to 103.50, 142.86 and 77.70 is: 107.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.50 : 142.86 = 77.70 : x
  2. Step 2: Convert to fraction form
    103.50/142.86 = 77.70/x
  3. Step 3: Cross multiply
    103.50x = 142.86 × 77.70
  4. Step 4: Simplify right side
    103.50x = 11,100.22
  5. Step 5: Solve for x
    x = 11,100.22/103.50
  6. Step 6: Final answer
    x = 107.25

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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.