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Finding the Fourth Proportional to 103.09, 142.23 and 71.99

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Solution

The fourth proportional to 103.09, 142.23 and 71.99 is: 99.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.09 : 142.23 = 71.99 : x
  2. Step 2: Convert to fraction form
    103.09/142.23 = 71.99/x
  3. Step 3: Cross multiply
    103.09x = 142.23 × 71.99
  4. Step 4: Simplify right side
    103.09x = 10,239.14
  5. Step 5: Solve for x
    x = 10,239.14/103.09
  6. Step 6: Final answer
    x = 99.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.