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Finding the Fourth Proportional to 78.39, 117.62 and 61.25

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Solution

The fourth proportional to 78.39, 117.62 and 61.25 is: 91.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.39 : 117.62 = 61.25 : x
  2. Step 2: Convert to fraction form
    78.39/117.62 = 61.25/x
  3. Step 3: Cross multiply
    78.39x = 117.62 × 61.25
  4. Step 4: Simplify right side
    78.39x = 7,203.33
  5. Step 5: Solve for x
    x = 7,203.33/78.39
  6. Step 6: Final answer
    x = 91.89

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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.