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Finding the Fourth Proportional to 45.90, 68.67 and 32.40

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Solution

The fourth proportional to 45.90, 68.67 and 32.40 is: 48.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.90 : 68.67 = 32.40 : x
  2. Step 2: Convert to fraction form
    45.90/68.67 = 32.40/x
  3. Step 3: Cross multiply
    45.90x = 68.67 × 32.40
  4. Step 4: Simplify right side
    45.90x = 2,224.91
  5. Step 5: Solve for x
    x = 2,224.91/45.90
  6. Step 6: Final answer
    x = 48.47

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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.