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Finding the Fourth Proportional to 72.14, 99.99 and 71.00

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Solution

The fourth proportional to 72.14, 99.99 and 71.00 is: 98.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.14 : 99.99 = 71.00 : x
  2. Step 2: Convert to fraction form
    72.14/99.99 = 71.00/x
  3. Step 3: Cross multiply
    72.14x = 99.99 × 71.00
  4. Step 4: Simplify right side
    72.14x = 7,099.50
  5. Step 5: Solve for x
    x = 7,099.50/72.14
  6. Step 6: Final answer
    x = 98.41

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.