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Finding the Fourth Proportional to 31.74, 47.64 and 31.00

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Solution

The fourth proportional to 31.74, 47.64 and 31.00 is: 46.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.74 : 47.64 = 31.00 : x
  2. Step 2: Convert to fraction form
    31.74/47.64 = 31.00/x
  3. Step 3: Cross multiply
    31.74x = 47.64 × 31.00
  4. Step 4: Simplify right side
    31.74x = 1,476.72
  5. Step 5: Solve for x
    x = 1,476.72/31.74
  6. Step 6: Final answer
    x = 46.53

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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.