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Finding the Fourth Proportional to 72.98, 100.69 and 57.41

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Solution

The fourth proportional to 72.98, 100.69 and 57.41 is: 79.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.98 : 100.69 = 57.41 : x
  2. Step 2: Convert to fraction form
    72.98/100.69 = 57.41/x
  3. Step 3: Cross multiply
    72.98x = 100.69 × 57.41
  4. Step 4: Simplify right side
    72.98x = 5,779.97
  5. Step 5: Solve for x
    x = 5,779.97/72.98
  6. Step 6: Final answer
    x = 79.20

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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.