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Finding the Fourth Proportional to 47.09, 70.28 and 45.88

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Solution

The fourth proportional to 47.09, 70.28 and 45.88 is: 68.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.09 : 70.28 = 45.88 : x
  2. Step 2: Convert to fraction form
    47.09/70.28 = 45.88/x
  3. Step 3: Cross multiply
    47.09x = 70.28 × 45.88
  4. Step 4: Simplify right side
    47.09x = 3,224.34
  5. Step 5: Solve for x
    x = 3,224.34/47.09
  6. Step 6: Final answer
    x = 68.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.