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Finding the Fourth Proportional to 50.14, 69.13 and 37

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Solution

The fourth proportional to 50.14, 69.13 and 37 is: 51.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.14 : 69.13 = 37 : x
  2. Step 2: Convert to fraction form
    50.14/69.13 = 37/x
  3. Step 3: Cross multiply
    50.14x = 69.13 × 37
  4. Step 4: Simplify right side
    50.14x = 2,557.81
  5. Step 5: Solve for x
    x = 2,557.81/50.14
  6. Step 6: Final answer
    x = 51.02

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1.5x scale

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.