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Finding the Fourth Proportional to 48.96, 73.56 and 30.96

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Solution

The fourth proportional to 48.96, 73.56 and 30.96 is: 46.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.96 : 73.56 = 30.96 : x
  2. Step 2: Convert to fraction form
    48.96/73.56 = 30.96/x
  3. Step 3: Cross multiply
    48.96x = 73.56 × 30.96
  4. Step 4: Simplify right side
    48.96x = 2,277.42
  5. Step 5: Solve for x
    x = 2,277.42/48.96
  6. Step 6: Final answer
    x = 46.52

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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.