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Finding the Fourth Proportional to 31.58, 47.12 and 28.17

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Solution

The fourth proportional to 31.58, 47.12 and 28.17 is: 42.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.58 : 47.12 = 28.17 : x
  2. Step 2: Convert to fraction form
    31.58/47.12 = 28.17/x
  3. Step 3: Cross multiply
    31.58x = 47.12 × 28.17
  4. Step 4: Simplify right side
    31.58x = 1,327.37
  5. Step 5: Solve for x
    x = 1,327.37/31.58
  6. Step 6: Final answer
    x = 42.03

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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.