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Finding the Fourth Proportional to 48.89, 73.21 and 31.50

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Solution

The fourth proportional to 48.89, 73.21 and 31.50 is: 47.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.89 : 73.21 = 31.50 : x
  2. Step 2: Convert to fraction form
    48.89/73.21 = 31.50/x
  3. Step 3: Cross multiply
    48.89x = 73.21 × 31.50
  4. Step 4: Simplify right side
    48.89x = 2,305.86
  5. Step 5: Solve for x
    x = 2,305.86/48.89
  6. Step 6: Final answer
    x = 47.16

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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.