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Finding the Fourth Proportional to 51.49, 77.00 and 31.06

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Solution

The fourth proportional to 51.49, 77.00 and 31.06 is: 46.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.49 : 77.00 = 31.06 : x
  2. Step 2: Convert to fraction form
    51.49/77.00 = 31.06/x
  3. Step 3: Cross multiply
    51.49x = 77.00 × 31.06
  4. Step 4: Simplify right side
    51.49x = 2,391.52
  5. Step 5: Solve for x
    x = 2,391.52/51.49
  6. Step 6: Final answer
    x = 46.45

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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.