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Finding the Fourth Proportional to 37.60, 51.76 and 37.04

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Solution

The fourth proportional to 37.60, 51.76 and 37.04 is: 50.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.60 : 51.76 = 37.04 : x
  2. Step 2: Convert to fraction form
    37.60/51.76 = 37.04/x
  3. Step 3: Cross multiply
    37.60x = 51.76 × 37.04
  4. Step 4: Simplify right side
    37.60x = 1,917.19
  5. Step 5: Solve for x
    x = 1,917.19/37.60
  6. Step 6: Final answer
    x = 50.99

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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.