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Finding the Fourth Proportional to 37.59, 51.17 and 37.40

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Solution

The fourth proportional to 37.59, 51.17 and 37.40 is: 50.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.59 : 51.17 = 37.40 : x
  2. Step 2: Convert to fraction form
    37.59/51.17 = 37.40/x
  3. Step 3: Cross multiply
    37.59x = 51.17 × 37.40
  4. Step 4: Simplify right side
    37.59x = 1,913.32
  5. Step 5: Solve for x
    x = 1,913.32/37.59
  6. Step 6: Final answer
    x = 50.90

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.