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Finding the Fourth Proportional to 47.41, 65.41 and 31.05

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Solution

The fourth proportional to 47.41, 65.41 and 31.05 is: 42.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.41 : 65.41 = 31.05 : x
  2. Step 2: Convert to fraction form
    47.41/65.41 = 31.05/x
  3. Step 3: Cross multiply
    47.41x = 65.41 × 31.05
  4. Step 4: Simplify right side
    47.41x = 2,030.90
  5. Step 5: Solve for x
    x = 2,030.90/47.41
  6. Step 6: Final answer
    x = 42.84

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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.