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Finding the Fourth Proportional to 78.58, 118.42 and 78.58

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Solution

The fourth proportional to 78.58, 118.42 and 78.58 is: 118.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.58 : 118.42 = 78.58 : x
  2. Step 2: Convert to fraction form
    78.58/118.42 = 78.58/x
  3. Step 3: Cross multiply
    78.58x = 118.42 × 78.58
  4. Step 4: Simplify right side
    78.58x = 9,305.44
  5. Step 5: Solve for x
    x = 9,305.44/78.58
  6. Step 6: Final answer
    x = 118.42

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.