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Finding the Fourth Proportional to 45.54, 62.91 and 32.67

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Solution

The fourth proportional to 45.54, 62.91 and 32.67 is: 45.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.54 : 62.91 = 32.67 : x
  2. Step 2: Convert to fraction form
    45.54/62.91 = 32.67/x
  3. Step 3: Cross multiply
    45.54x = 62.91 × 32.67
  4. Step 4: Simplify right side
    45.54x = 2,055.27
  5. Step 5: Solve for x
    x = 2,055.27/45.54
  6. Step 6: Final answer
    x = 45.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.