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Finding the Fourth Proportional to 139.54, 209.31 and 47.00

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Solution

The fourth proportional to 139.54, 209.31 and 47.00 is: 70.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.54 : 209.31 = 47.00 : x
  2. Step 2: Convert to fraction form
    139.54/209.31 = 47.00/x
  3. Step 3: Cross multiply
    139.54x = 209.31 × 47.00
  4. Step 4: Simplify right side
    139.54x = 9,837.00
  5. Step 5: Solve for x
    x = 9,837.00/139.54
  6. Step 6: Final answer
    x = 70.50

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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.