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Finding the Fourth Proportional to 37.32, 51.55 and 26.45

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Solution

The fourth proportional to 37.32, 51.55 and 26.45 is: 36.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.32 : 51.55 = 26.45 : x
  2. Step 2: Convert to fraction form
    37.32/51.55 = 26.45/x
  3. Step 3: Cross multiply
    37.32x = 51.55 × 26.45
  4. Step 4: Simplify right side
    37.32x = 1,363.56
  5. Step 5: Solve for x
    x = 1,363.56/37.32
  6. Step 6: Final answer
    x = 36.54

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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.