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Finding the Fourth Proportional to 78.18, 117.85 and 71.34

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Solution

The fourth proportional to 78.18, 117.85 and 71.34 is: 107.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.18 : 117.85 = 71.34 : x
  2. Step 2: Convert to fraction form
    78.18/117.85 = 71.34/x
  3. Step 3: Cross multiply
    78.18x = 117.85 × 71.34
  4. Step 4: Simplify right side
    78.18x = 8,407.49
  5. Step 5: Solve for x
    x = 8,407.49/78.18
  6. Step 6: Final answer
    x = 107.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.