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Finding the Fourth Proportional to 37.14, 55.46 and 34.50

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Solution

The fourth proportional to 37.14, 55.46 and 34.50 is: 51.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.14 : 55.46 = 34.50 : x
  2. Step 2: Convert to fraction form
    37.14/55.46 = 34.50/x
  3. Step 3: Cross multiply
    37.14x = 55.46 × 34.50
  4. Step 4: Simplify right side
    37.14x = 1,913.20
  5. Step 5: Solve for x
    x = 1,913.20/37.14
  6. Step 6: Final answer
    x = 51.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.