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Finding the Fourth Proportional to 37.30, 56.02 and 31.60

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Solution

The fourth proportional to 37.30, 56.02 and 31.60 is: 47.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.30 : 56.02 = 31.60 : x
  2. Step 2: Convert to fraction form
    37.30/56.02 = 31.60/x
  3. Step 3: Cross multiply
    37.30x = 56.02 × 31.60
  4. Step 4: Simplify right side
    37.30x = 1,770.23
  5. Step 5: Solve for x
    x = 1,770.23/37.30
  6. Step 6: Final answer
    x = 47.46

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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.