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Finding the Fourth Proportional to 50.88, 70.14 and 31.46

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Solution

The fourth proportional to 50.88, 70.14 and 31.46 is: 43.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.88 : 70.14 = 31.46 : x
  2. Step 2: Convert to fraction form
    50.88/70.14 = 31.46/x
  3. Step 3: Cross multiply
    50.88x = 70.14 × 31.46
  4. Step 4: Simplify right side
    50.88x = 2,206.60
  5. Step 5: Solve for x
    x = 2,206.60/50.88
  6. Step 6: Final answer
    x = 43.37

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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.