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Finding the Fourth Proportional to 78.18, 107.79 and 65.88

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Solution

The fourth proportional to 78.18, 107.79 and 65.88 is: 90.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.18 : 107.79 = 65.88 : x
  2. Step 2: Convert to fraction form
    78.18/107.79 = 65.88/x
  3. Step 3: Cross multiply
    78.18x = 107.79 × 65.88
  4. Step 4: Simplify right side
    78.18x = 7,101.21
  5. Step 5: Solve for x
    x = 7,101.21/78.18
  6. Step 6: Final answer
    x = 90.83

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Why These Related Problems?

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