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Finding the Fourth Proportional to 78.36, 117.55 and 24.26

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Solution

The fourth proportional to 78.36, 117.55 and 24.26 is: 36.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.36 : 117.55 = 24.26 : x
  2. Step 2: Convert to fraction form
    78.36/117.55 = 24.26/x
  3. Step 3: Cross multiply
    78.36x = 117.55 × 24.26
  4. Step 4: Simplify right side
    78.36x = 2,851.43
  5. Step 5: Solve for x
    x = 2,851.43/78.36
  6. Step 6: Final answer
    x = 36.39

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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.