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Finding the Fourth Proportional to 78.96, 118.38 and 42.84

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Solution

The fourth proportional to 78.96, 118.38 and 42.84 is: 64.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.96 : 118.38 = 42.84 : x
  2. Step 2: Convert to fraction form
    78.96/118.38 = 42.84/x
  3. Step 3: Cross multiply
    78.96x = 118.38 × 42.84
  4. Step 4: Simplify right side
    78.96x = 5,071.40
  5. Step 5: Solve for x
    x = 5,071.40/78.96
  6. Step 6: Final answer
    x = 64.23

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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.