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Finding the Fourth Proportional to 48.69, 72.90 and 32.63

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Solution

The fourth proportional to 48.69, 72.90 and 32.63 is: 48.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.69 : 72.90 = 32.63 : x
  2. Step 2: Convert to fraction form
    48.69/72.90 = 32.63/x
  3. Step 3: Cross multiply
    48.69x = 72.90 × 32.63
  4. Step 4: Simplify right side
    48.69x = 2,378.36
  5. Step 5: Solve for x
    x = 2,378.36/48.69
  6. Step 6: Final answer
    x = 48.85

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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.