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Finding the Fourth Proportional to 78.30, 107.99 and 55.02

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Solution

The fourth proportional to 78.30, 107.99 and 55.02 is: 75.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.30 : 107.99 = 55.02 : x
  2. Step 2: Convert to fraction form
    78.30/107.99 = 55.02/x
  3. Step 3: Cross multiply
    78.30x = 107.99 × 55.02
  4. Step 4: Simplify right side
    78.30x = 5,941.33
  5. Step 5: Solve for x
    x = 5,941.33/78.30
  6. Step 6: Final answer
    x = 75.88

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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.