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Finding the Fourth Proportional to 103.90, 143.44 and 74.74

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Solution

The fourth proportional to 103.90, 143.44 and 74.74 is: 103.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.90 : 143.44 = 74.74 : x
  2. Step 2: Convert to fraction form
    103.90/143.44 = 74.74/x
  3. Step 3: Cross multiply
    103.90x = 143.44 × 74.74
  4. Step 4: Simplify right side
    103.90x = 10,720.71
  5. Step 5: Solve for x
    x = 10,720.71/103.90
  6. Step 6: Final answer
    x = 103.18

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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.