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Finding the Fourth Proportional to 47.31, 65.28 and 27.64

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Solution

The fourth proportional to 47.31, 65.28 and 27.64 is: 38.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.31 : 65.28 = 27.64 : x
  2. Step 2: Convert to fraction form
    47.31/65.28 = 27.64/x
  3. Step 3: Cross multiply
    47.31x = 65.28 × 27.64
  4. Step 4: Simplify right side
    47.31x = 1,804.34
  5. Step 5: Solve for x
    x = 1,804.34/47.31
  6. Step 6: Final answer
    x = 38.14

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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.