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Finding the Fourth Proportional to 47.23, 70.48 and 45.67

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Solution

The fourth proportional to 47.23, 70.48 and 45.67 is: 68.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.23 : 70.48 = 45.67 : x
  2. Step 2: Convert to fraction form
    47.23/70.48 = 45.67/x
  3. Step 3: Cross multiply
    47.23x = 70.48 × 45.67
  4. Step 4: Simplify right side
    47.23x = 3,218.82
  5. Step 5: Solve for x
    x = 3,218.82/47.23
  6. Step 6: Final answer
    x = 68.15

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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.