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Finding the Fourth Proportional to 84.78, 127.85 and 78.03

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Solution

The fourth proportional to 84.78, 127.85 and 78.03 is: 117.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.78 : 127.85 = 78.03 : x
  2. Step 2: Convert to fraction form
    84.78/127.85 = 78.03/x
  3. Step 3: Cross multiply
    84.78x = 127.85 × 78.03
  4. Step 4: Simplify right side
    84.78x = 9,975.75
  5. Step 5: Solve for x
    x = 9,975.75/84.78
  6. Step 6: Final answer
    x = 117.67

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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.