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Finding the Fourth Proportional to 78.54, 117.78 and 29.80

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Solution

The fourth proportional to 78.54, 117.78 and 29.80 is: 44.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.54 : 117.78 = 29.80 : x
  2. Step 2: Convert to fraction form
    78.54/117.78 = 29.80/x
  3. Step 3: Cross multiply
    78.54x = 117.78 × 29.80
  4. Step 4: Simplify right side
    78.54x = 3,509.88
  5. Step 5: Solve for x
    x = 3,509.88/78.54
  6. Step 6: Final answer
    x = 44.69

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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.