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Finding the Fourth Proportional to 78.30, 117.54 and 54.41

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Solution

The fourth proportional to 78.30, 117.54 and 54.41 is: 81.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.30 : 117.54 = 54.41 : x
  2. Step 2: Convert to fraction form
    78.30/117.54 = 54.41/x
  3. Step 3: Cross multiply
    78.30x = 117.54 × 54.41
  4. Step 4: Simplify right side
    78.30x = 6,394.76
  5. Step 5: Solve for x
    x = 6,394.76/78.30
  6. Step 6: Final answer
    x = 81.67

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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.