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Finding the Fourth Proportional to 51.88, 77.72 and 31.63

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Solution

The fourth proportional to 51.88, 77.72 and 31.63 is: 47.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.88 : 77.72 = 31.63 : x
  2. Step 2: Convert to fraction form
    51.88/77.72 = 31.63/x
  3. Step 3: Cross multiply
    51.88x = 77.72 × 31.63
  4. Step 4: Simplify right side
    51.88x = 2,457.93
  5. Step 5: Solve for x
    x = 2,457.93/51.88
  6. Step 6: Final answer
    x = 47.38

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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.