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Finding the Fourth Proportional to 47.07, 70.59 and 14.56

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Solution

The fourth proportional to 47.07, 70.59 and 14.56 is: 21.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.07 : 70.59 = 14.56 : x
  2. Step 2: Convert to fraction form
    47.07/70.59 = 14.56/x
  3. Step 3: Cross multiply
    47.07x = 70.59 × 14.56
  4. Step 4: Simplify right side
    47.07x = 1,027.61
  5. Step 5: Solve for x
    x = 1,027.61/47.07
  6. Step 6: Final answer
    x = 21.83

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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.