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Finding the Fourth Proportional to 48.83, 73.26 and 31.70

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Solution

The fourth proportional to 48.83, 73.26 and 31.70 is: 47.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.83 : 73.26 = 31.70 : x
  2. Step 2: Convert to fraction form
    48.83/73.26 = 31.70/x
  3. Step 3: Cross multiply
    48.83x = 73.26 × 31.70
  4. Step 4: Simplify right side
    48.83x = 2,322.53
  5. Step 5: Solve for x
    x = 2,322.53/48.83
  6. Step 6: Final answer
    x = 47.57

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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.