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Finding the Fourth Proportional to 74.59, 111.78 and 34.00

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Solution

The fourth proportional to 74.59, 111.78 and 34.00 is: 50.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.59 : 111.78 = 34.00 : x
  2. Step 2: Convert to fraction form
    74.59/111.78 = 34.00/x
  3. Step 3: Cross multiply
    74.59x = 111.78 × 34.00
  4. Step 4: Simplify right side
    74.59x = 3,800.24
  5. Step 5: Solve for x
    x = 3,800.24/74.59
  6. Step 6: Final answer
    x = 50.95

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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.