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Finding the Fourth Proportional to 78.13, 107.33 and 71.05

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Solution

The fourth proportional to 78.13, 107.33 and 71.05 is: 97.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.13 : 107.33 = 71.05 : x
  2. Step 2: Convert to fraction form
    78.13/107.33 = 71.05/x
  3. Step 3: Cross multiply
    78.13x = 107.33 × 71.05
  4. Step 4: Simplify right side
    78.13x = 7,625.80
  5. Step 5: Solve for x
    x = 7,625.80/78.13
  6. Step 6: Final answer
    x = 97.60

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.