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Finding the Fourth Proportional to 78.99, 118.51 and 30.24

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Solution

The fourth proportional to 78.99, 118.51 and 30.24 is: 45.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.99 : 118.51 = 30.24 : x
  2. Step 2: Convert to fraction form
    78.99/118.51 = 30.24/x
  3. Step 3: Cross multiply
    78.99x = 118.51 × 30.24
  4. Step 4: Simplify right side
    78.99x = 3,583.59
  5. Step 5: Solve for x
    x = 3,583.59/78.99
  6. Step 6: Final answer
    x = 45.37

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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.