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Finding the Fourth Proportional to 78.42, 108.22 and 61.84

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Solution

The fourth proportional to 78.42, 108.22 and 61.84 is: 85.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.42 : 108.22 = 61.84 : x
  2. Step 2: Convert to fraction form
    78.42/108.22 = 61.84/x
  3. Step 3: Cross multiply
    78.42x = 108.22 × 61.84
  4. Step 4: Simplify right side
    78.42x = 6,692.32
  5. Step 5: Solve for x
    x = 6,692.32/78.42
  6. Step 6: Final answer
    x = 85.34

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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.