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Finding the Fourth Proportional to 50.70, 75.97 and 31.42

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Solution

The fourth proportional to 50.70, 75.97 and 31.42 is: 47.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.70 : 75.97 = 31.42 : x
  2. Step 2: Convert to fraction form
    50.70/75.97 = 31.42/x
  3. Step 3: Cross multiply
    50.70x = 75.97 × 31.42
  4. Step 4: Simplify right side
    50.70x = 2,386.98
  5. Step 5: Solve for x
    x = 2,386.98/50.70
  6. Step 6: Final answer
    x = 47.08

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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.