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Finding the Fourth Proportional to 49.14, 73.71 and 32.07

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Solution

The fourth proportional to 49.14, 73.71 and 32.07 is: 48.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.14 : 73.71 = 32.07 : x
  2. Step 2: Convert to fraction form
    49.14/73.71 = 32.07/x
  3. Step 3: Cross multiply
    49.14x = 73.71 × 32.07
  4. Step 4: Simplify right side
    49.14x = 2,363.88
  5. Step 5: Solve for x
    x = 2,363.88/49.14
  6. Step 6: Final answer
    x = 48.11

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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.