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Finding the Fourth Proportional to 48.72, 73.20 and 34.56

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Solution

The fourth proportional to 48.72, 73.20 and 34.56 is: 51.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.72 : 73.20 = 34.56 : x
  2. Step 2: Convert to fraction form
    48.72/73.20 = 34.56/x
  3. Step 3: Cross multiply
    48.72x = 73.20 × 34.56
  4. Step 4: Simplify right side
    48.72x = 2,529.79
  5. Step 5: Solve for x
    x = 2,529.79/48.72
  6. Step 6: Final answer
    x = 51.93

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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.