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Finding the Fourth Proportional to 31.03, 46.50 and 17.48

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Solution

The fourth proportional to 31.03, 46.50 and 17.48 is: 26.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.03 : 46.50 = 17.48 : x
  2. Step 2: Convert to fraction form
    31.03/46.50 = 17.48/x
  3. Step 3: Cross multiply
    31.03x = 46.50 × 17.48
  4. Step 4: Simplify right side
    31.03x = 812.82
  5. Step 5: Solve for x
    x = 812.82/31.03
  6. Step 6: Final answer
    x = 26.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.