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Finding the Fourth Proportional to 103.91, 143.35 and 71.10

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Solution

The fourth proportional to 103.91, 143.35 and 71.10 is: 98.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.91 : 143.35 = 71.10 : x
  2. Step 2: Convert to fraction form
    103.91/143.35 = 71.10/x
  3. Step 3: Cross multiply
    103.91x = 143.35 × 71.10
  4. Step 4: Simplify right side
    103.91x = 10,192.01
  5. Step 5: Solve for x
    x = 10,192.01/103.91
  6. Step 6: Final answer
    x = 98.09

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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.