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Finding the Fourth Proportional to 47.14, 70.55 and 36.96

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Solution

The fourth proportional to 47.14, 70.55 and 36.96 is: 55.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.14 : 70.55 = 36.96 : x
  2. Step 2: Convert to fraction form
    47.14/70.55 = 36.96/x
  3. Step 3: Cross multiply
    47.14x = 70.55 × 36.96
  4. Step 4: Simplify right side
    47.14x = 2,607.34
  5. Step 5: Solve for x
    x = 2,607.34/47.14
  6. Step 6: Final answer
    x = 55.32

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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.