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Finding the Fourth Proportional to 72.02, 98.73 and 70.98

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Solution

The fourth proportional to 72.02, 98.73 and 70.98 is: 97.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.02 : 98.73 = 70.98 : x
  2. Step 2: Convert to fraction form
    72.02/98.73 = 70.98/x
  3. Step 3: Cross multiply
    72.02x = 98.73 × 70.98
  4. Step 4: Simplify right side
    72.02x = 7,007.86
  5. Step 5: Solve for x
    x = 7,007.86/72.02
  6. Step 6: Final answer
    x = 97.31

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.