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Finding the Fourth Proportional to 78.36, 107.98 and 56.49

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Solution

The fourth proportional to 78.36, 107.98 and 56.49 is: 77.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.36 : 107.98 = 56.49 : x
  2. Step 2: Convert to fraction form
    78.36/107.98 = 56.49/x
  3. Step 3: Cross multiply
    78.36x = 107.98 × 56.49
  4. Step 4: Simplify right side
    78.36x = 6,099.79
  5. Step 5: Solve for x
    x = 6,099.79/78.36
  6. Step 6: Final answer
    x = 77.84

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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.