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Finding the Fourth Proportional to 78.09, 117.16 and 34.78

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Solution

The fourth proportional to 78.09, 117.16 and 34.78 is: 52.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.09 : 117.16 = 34.78 : x
  2. Step 2: Convert to fraction form
    78.09/117.16 = 34.78/x
  3. Step 3: Cross multiply
    78.09x = 117.16 × 34.78
  4. Step 4: Simplify right side
    78.09x = 4,074.94
  5. Step 5: Solve for x
    x = 4,074.94/78.09
  6. Step 6: Final answer
    x = 52.19

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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.