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Finding the Fourth Proportional to 46.86, 70.37 and 31.65

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Solution

The fourth proportional to 46.86, 70.37 and 31.65 is: 47.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.86 : 70.37 = 31.65 : x
  2. Step 2: Convert to fraction form
    46.86/70.37 = 31.65/x
  3. Step 3: Cross multiply
    46.86x = 70.37 × 31.65
  4. Step 4: Simplify right side
    46.86x = 2,226.70
  5. Step 5: Solve for x
    x = 2,226.70/46.86
  6. Step 6: Final answer
    x = 47.52

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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.