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Finding the Fourth Proportional to 78.83, 118.29 and 38.28

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Solution

The fourth proportional to 78.83, 118.29 and 38.28 is: 57.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.83 : 118.29 = 38.28 : x
  2. Step 2: Convert to fraction form
    78.83/118.29 = 38.28/x
  3. Step 3: Cross multiply
    78.83x = 118.29 × 38.28
  4. Step 4: Simplify right side
    78.83x = 4,528.14
  5. Step 5: Solve for x
    x = 4,528.14/78.83
  6. Step 6: Final answer
    x = 57.45

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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.