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Finding the Fourth Proportional to 47.25, 70.75 and 45.88

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Solution

The fourth proportional to 47.25, 70.75 and 45.88 is: 68.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.25 : 70.75 = 45.88 : x
  2. Step 2: Convert to fraction form
    47.25/70.75 = 45.88/x
  3. Step 3: Cross multiply
    47.25x = 70.75 × 45.88
  4. Step 4: Simplify right side
    47.25x = 3,246.01
  5. Step 5: Solve for x
    x = 3,246.01/47.25
  6. Step 6: Final answer
    x = 68.70

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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.