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Finding the Fourth Proportional to 47.13, 70.62 and 36.96

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Solution

The fourth proportional to 47.13, 70.62 and 36.96 is: 55.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.13 : 70.62 = 36.96 : x
  2. Step 2: Convert to fraction form
    47.13/70.62 = 36.96/x
  3. Step 3: Cross multiply
    47.13x = 70.62 × 36.96
  4. Step 4: Simplify right side
    47.13x = 2,610.12
  5. Step 5: Solve for x
    x = 2,610.12/47.13
  6. Step 6: Final answer
    x = 55.38

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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.