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Finding the Fourth Proportional to 78.42, 117.34 and 57.96

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Solution

The fourth proportional to 78.42, 117.34 and 57.96 is: 86.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.42 : 117.34 = 57.96 : x
  2. Step 2: Convert to fraction form
    78.42/117.34 = 57.96/x
  3. Step 3: Cross multiply
    78.42x = 117.34 × 57.96
  4. Step 4: Simplify right side
    78.42x = 6,801.03
  5. Step 5: Solve for x
    x = 6,801.03/78.42
  6. Step 6: Final answer
    x = 86.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.