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Finding the Fourth Proportional to 103.98, 143.54 and 71.35

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Solution

The fourth proportional to 103.98, 143.54 and 71.35 is: 98.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.98 : 143.54 = 71.35 : x
  2. Step 2: Convert to fraction form
    103.98/143.54 = 71.35/x
  3. Step 3: Cross multiply
    103.98x = 143.54 × 71.35
  4. Step 4: Simplify right side
    103.98x = 10,241.13
  5. Step 5: Solve for x
    x = 10,241.13/103.98
  6. Step 6: Final answer
    x = 98.49

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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.