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Finding the Fourth Proportional to 48.70, 73.06 and 27.05

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Solution

The fourth proportional to 48.70, 73.06 and 27.05 is: 40.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.70 : 73.06 = 27.05 : x
  2. Step 2: Convert to fraction form
    48.70/73.06 = 27.05/x
  3. Step 3: Cross multiply
    48.70x = 73.06 × 27.05
  4. Step 4: Simplify right side
    48.70x = 1,975.91
  5. Step 5: Solve for x
    x = 1,975.91/48.70
  6. Step 6: Final answer
    x = 40.57

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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.