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Finding the Fourth Proportional to 51.34, 76.99 and 31.06

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Solution

The fourth proportional to 51.34, 76.99 and 31.06 is: 46.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.34 : 76.99 = 31.06 : x
  2. Step 2: Convert to fraction form
    51.34/76.99 = 31.06/x
  3. Step 3: Cross multiply
    51.34x = 76.99 × 31.06
  4. Step 4: Simplify right side
    51.34x = 2,391.31
  5. Step 5: Solve for x
    x = 2,391.31/51.34
  6. Step 6: Final answer
    x = 46.58

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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.