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Finding the Fourth Proportional to 47.30, 70.95 and 13.06

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Solution

The fourth proportional to 47.30, 70.95 and 13.06 is: 19.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.30 : 70.95 = 13.06 : x
  2. Step 2: Convert to fraction form
    47.30/70.95 = 13.06/x
  3. Step 3: Cross multiply
    47.30x = 70.95 × 13.06
  4. Step 4: Simplify right side
    47.30x = 926.61
  5. Step 5: Solve for x
    x = 926.61/47.30
  6. Step 6: Final answer
    x = 19.59

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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.