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Finding the Fourth Proportional to 78.12, 117.09 and 55.22

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Solution

The fourth proportional to 78.12, 117.09 and 55.22 is: 82.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.12 : 117.09 = 55.22 : x
  2. Step 2: Convert to fraction form
    78.12/117.09 = 55.22/x
  3. Step 3: Cross multiply
    78.12x = 117.09 × 55.22
  4. Step 4: Simplify right side
    78.12x = 6,465.12
  5. Step 5: Solve for x
    x = 6,465.12/78.12
  6. Step 6: Final answer
    x = 82.76

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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.