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Finding the Fourth Proportional to 31.63, 47.04 and 30.42

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Solution

The fourth proportional to 31.63, 47.04 and 30.42 is: 45.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.63 : 47.04 = 30.42 : x
  2. Step 2: Convert to fraction form
    31.63/47.04 = 30.42/x
  3. Step 3: Cross multiply
    31.63x = 47.04 × 30.42
  4. Step 4: Simplify right side
    31.63x = 1,430.96
  5. Step 5: Solve for x
    x = 1,430.96/31.63
  6. Step 6: Final answer
    x = 45.24

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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.