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Finding the Fourth Proportional to 31.56, 47 and 31.28

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Solution

The fourth proportional to 31.56, 47 and 31.28 is: 46.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.56 : 47 = 31.28 : x
  2. Step 2: Convert to fraction form
    31.56/47 = 31.28/x
  3. Step 3: Cross multiply
    31.56x = 47 × 31.28
  4. Step 4: Simplify right side
    31.56x = 1,470.16
  5. Step 5: Solve for x
    x = 1,470.16/31.56
  6. Step 6: Final answer
    x = 46.58

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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.