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Finding the Fourth Proportional to 31.65, 47.06 and 31.57

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Solution

The fourth proportional to 31.65, 47.06 and 31.57 is: 46.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.65 : 47.06 = 31.57 : x
  2. Step 2: Convert to fraction form
    31.65/47.06 = 31.57/x
  3. Step 3: Cross multiply
    31.65x = 47.06 × 31.57
  4. Step 4: Simplify right side
    31.65x = 1,485.68
  5. Step 5: Solve for x
    x = 1,485.68/31.65
  6. Step 6: Final answer
    x = 46.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.