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Finding the Fourth Proportional to 51.24, 70.66 and 31.84

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Solution

The fourth proportional to 51.24, 70.66 and 31.84 is: 43.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.24 : 70.66 = 31.84 : x
  2. Step 2: Convert to fraction form
    51.24/70.66 = 31.84/x
  3. Step 3: Cross multiply
    51.24x = 70.66 × 31.84
  4. Step 4: Simplify right side
    51.24x = 2,249.81
  5. Step 5: Solve for x
    x = 2,249.81/51.24
  6. Step 6: Final answer
    x = 43.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.