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Finding the Fourth Proportional to 78.36, 117.60 and 54.40

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Solution

The fourth proportional to 78.36, 117.60 and 54.40 is: 81.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.36 : 117.60 = 54.40 : x
  2. Step 2: Convert to fraction form
    78.36/117.60 = 54.40/x
  3. Step 3: Cross multiply
    78.36x = 117.60 × 54.40
  4. Step 4: Simplify right side
    78.36x = 6,397.44
  5. Step 5: Solve for x
    x = 6,397.44/78.36
  6. Step 6: Final answer
    x = 81.64

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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.