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Finding the Fourth Proportional to 78.52, 117.62 and 42.42

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Solution

The fourth proportional to 78.52, 117.62 and 42.42 is: 63.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.52 : 117.62 = 42.42 : x
  2. Step 2: Convert to fraction form
    78.52/117.62 = 42.42/x
  3. Step 3: Cross multiply
    78.52x = 117.62 × 42.42
  4. Step 4: Simplify right side
    78.52x = 4,989.44
  5. Step 5: Solve for x
    x = 4,989.44/78.52
  6. Step 6: Final answer
    x = 63.54

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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.