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Finding the Fourth Proportional to 72.89, 100.67 and 51.02

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Solution

The fourth proportional to 72.89, 100.67 and 51.02 is: 70.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.89 : 100.67 = 51.02 : x
  2. Step 2: Convert to fraction form
    72.89/100.67 = 51.02/x
  3. Step 3: Cross multiply
    72.89x = 100.67 × 51.02
  4. Step 4: Simplify right side
    72.89x = 5,136.18
  5. Step 5: Solve for x
    x = 5,136.18/72.89
  6. Step 6: Final answer
    x = 70.46

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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.