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Finding the Fourth Proportional to 45.02, 67.27 and 31.39

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Solution

The fourth proportional to 45.02, 67.27 and 31.39 is: 46.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.02 : 67.27 = 31.39 : x
  2. Step 2: Convert to fraction form
    45.02/67.27 = 31.39/x
  3. Step 3: Cross multiply
    45.02x = 67.27 × 31.39
  4. Step 4: Simplify right side
    45.02x = 2,111.42
  5. Step 5: Solve for x
    x = 2,111.42/45.02
  6. Step 6: Final answer
    x = 46.90

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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.