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Finding the Fourth Proportional to 47.24, 65.12 and 34.28

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Solution

The fourth proportional to 47.24, 65.12 and 34.28 is: 47.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.24 : 65.12 = 34.28 : x
  2. Step 2: Convert to fraction form
    47.24/65.12 = 34.28/x
  3. Step 3: Cross multiply
    47.24x = 65.12 × 34.28
  4. Step 4: Simplify right side
    47.24x = 2,232.31
  5. Step 5: Solve for x
    x = 2,232.31/47.24
  6. Step 6: Final answer
    x = 47.25

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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.