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Finding the Fourth Proportional to 78.42, 117.63 and 27.09

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Solution

The fourth proportional to 78.42, 117.63 and 27.09 is: 40.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.42 : 117.63 = 27.09 : x
  2. Step 2: Convert to fraction form
    78.42/117.63 = 27.09/x
  3. Step 3: Cross multiply
    78.42x = 117.63 × 27.09
  4. Step 4: Simplify right side
    78.42x = 3,186.60
  5. Step 5: Solve for x
    x = 3,186.60/78.42
  6. Step 6: Final answer
    x = 40.64

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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.