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Finding the Fourth Proportional to 51.04, 76.59 and 30.75

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Solution

The fourth proportional to 51.04, 76.59 and 30.75 is: 46.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.04 : 76.59 = 30.75 : x
  2. Step 2: Convert to fraction form
    51.04/76.59 = 30.75/x
  3. Step 3: Cross multiply
    51.04x = 76.59 × 30.75
  4. Step 4: Simplify right side
    51.04x = 2,355.14
  5. Step 5: Solve for x
    x = 2,355.14/51.04
  6. Step 6: Final answer
    x = 46.14

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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.