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Finding the Fourth Proportional to 102.83, 153.99 and 72.38

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Solution

The fourth proportional to 102.83, 153.99 and 72.38 is: 108.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.83 : 153.99 = 72.38 : x
  2. Step 2: Convert to fraction form
    102.83/153.99 = 72.38/x
  3. Step 3: Cross multiply
    102.83x = 153.99 × 72.38
  4. Step 4: Simplify right side
    102.83x = 11,145.80
  5. Step 5: Solve for x
    x = 11,145.80/102.83
  6. Step 6: Final answer
    x = 108.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.