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Finding the Fourth Proportional to 51.77, 77.65 and 31.47

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Solution

The fourth proportional to 51.77, 77.65 and 31.47 is: 47.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.77 : 77.65 = 31.47 : x
  2. Step 2: Convert to fraction form
    51.77/77.65 = 31.47/x
  3. Step 3: Cross multiply
    51.77x = 77.65 × 31.47
  4. Step 4: Simplify right side
    51.77x = 2,443.65
  5. Step 5: Solve for x
    x = 2,443.65/51.77
  6. Step 6: Final answer
    x = 47.20

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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.