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Finding the Fourth Proportional to 31.04, 46.31 and 30.25

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Solution

The fourth proportional to 31.04, 46.31 and 30.25 is: 45.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.04 : 46.31 = 30.25 : x
  2. Step 2: Convert to fraction form
    31.04/46.31 = 30.25/x
  3. Step 3: Cross multiply
    31.04x = 46.31 × 30.25
  4. Step 4: Simplify right side
    31.04x = 1,400.88
  5. Step 5: Solve for x
    x = 1,400.88/31.04
  6. Step 6: Final answer
    x = 45.13

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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.