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Finding the Fourth Proportional to 37.07, 55.48 and 31.60

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Solution

The fourth proportional to 37.07, 55.48 and 31.60 is: 47.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.07 : 55.48 = 31.60 : x
  2. Step 2: Convert to fraction form
    37.07/55.48 = 31.60/x
  3. Step 3: Cross multiply
    37.07x = 55.48 × 31.60
  4. Step 4: Simplify right side
    37.07x = 1,752.95
  5. Step 5: Solve for x
    x = 1,752.95/37.07
  6. Step 6: Final answer
    x = 47.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.