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Finding the Fourth Proportional to 73.54, 110.09 and 48.86

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Solution

The fourth proportional to 73.54, 110.09 and 48.86 is: 73.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.54 : 110.09 = 48.86 : x
  2. Step 2: Convert to fraction form
    73.54/110.09 = 48.86/x
  3. Step 3: Cross multiply
    73.54x = 110.09 × 48.86
  4. Step 4: Simplify right side
    73.54x = 5,378.40
  5. Step 5: Solve for x
    x = 5,378.40/73.54
  6. Step 6: Final answer
    x = 73.14

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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.