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Finding the Fourth Proportional to 47.55, 71.35 and 27.03

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Solution

The fourth proportional to 47.55, 71.35 and 27.03 is: 40.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.55 : 71.35 = 27.03 : x
  2. Step 2: Convert to fraction form
    47.55/71.35 = 27.03/x
  3. Step 3: Cross multiply
    47.55x = 71.35 × 27.03
  4. Step 4: Simplify right side
    47.55x = 1,928.23
  5. Step 5: Solve for x
    x = 1,928.23/47.55
  6. Step 6: Final answer
    x = 40.55

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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.