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Finding the Fourth Proportional to 103.80, 143.32 and 66.98

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Solution

The fourth proportional to 103.80, 143.32 and 66.98 is: 92.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.80 : 143.32 = 66.98 : x
  2. Step 2: Convert to fraction form
    103.80/143.32 = 66.98/x
  3. Step 3: Cross multiply
    103.80x = 143.32 × 66.98
  4. Step 4: Simplify right side
    103.80x = 9,599.57
  5. Step 5: Solve for x
    x = 9,599.57/103.80
  6. Step 6: Final answer
    x = 92.48

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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.