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Finding the Fourth Proportional to 47.54, 71.59 and 34.11

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Solution

The fourth proportional to 47.54, 71.59 and 34.11 is: 51.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.54 : 71.59 = 34.11 : x
  2. Step 2: Convert to fraction form
    47.54/71.59 = 34.11/x
  3. Step 3: Cross multiply
    47.54x = 71.59 × 34.11
  4. Step 4: Simplify right side
    47.54x = 2,442.01
  5. Step 5: Solve for x
    x = 2,442.01/47.54
  6. Step 6: Final answer
    x = 51.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.