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Finding the Fourth Proportional to 34.16, 51.00 and 30.75

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Solution

The fourth proportional to 34.16, 51.00 and 30.75 is: 45.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.16 : 51.00 = 30.75 : x
  2. Step 2: Convert to fraction form
    34.16/51.00 = 30.75/x
  3. Step 3: Cross multiply
    34.16x = 51.00 × 30.75
  4. Step 4: Simplify right side
    34.16x = 1,567.94
  5. Step 5: Solve for x
    x = 1,567.94/34.16
  6. Step 6: Final answer
    x = 45.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.