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Finding the Fourth Proportional to 39.63, 59.37 and 31.60

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Solution

The fourth proportional to 39.63, 59.37 and 31.60 is: 47.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.63 : 59.37 = 31.60 : x
  2. Step 2: Convert to fraction form
    39.63/59.37 = 31.60/x
  3. Step 3: Cross multiply
    39.63x = 59.37 × 31.60
  4. Step 4: Simplify right side
    39.63x = 1,875.80
  5. Step 5: Solve for x
    x = 1,875.80/39.63
  6. Step 6: Final answer
    x = 47.34

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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.