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Finding the Fourth Proportional to 78.33, 108.19 and 59.87

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Solution

The fourth proportional to 78.33, 108.19 and 59.87 is: 82.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.33 : 108.19 = 59.87 : x
  2. Step 2: Convert to fraction form
    78.33/108.19 = 59.87/x
  3. Step 3: Cross multiply
    78.33x = 108.19 × 59.87
  4. Step 4: Simplify right side
    78.33x = 6,477.34
  5. Step 5: Solve for x
    x = 6,477.34/78.33
  6. Step 6: Final answer
    x = 82.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.