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Finding the Fourth Proportional to 50.70, 76.15 and 31.46

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Solution

The fourth proportional to 50.70, 76.15 and 31.46 is: 47.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.70 : 76.15 = 31.46 : x
  2. Step 2: Convert to fraction form
    50.70/76.15 = 31.46/x
  3. Step 3: Cross multiply
    50.70x = 76.15 × 31.46
  4. Step 4: Simplify right side
    50.70x = 2,395.41
  5. Step 5: Solve for x
    x = 2,395.41/50.70
  6. Step 6: Final answer
    x = 47.25

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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.