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Finding the Fourth Proportional to 31.48, 46.97 and 26.98

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Solution

The fourth proportional to 31.48, 46.97 and 26.98 is: 40.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.48 : 46.97 = 26.98 : x
  2. Step 2: Convert to fraction form
    31.48/46.97 = 26.98/x
  3. Step 3: Cross multiply
    31.48x = 46.97 × 26.98
  4. Step 4: Simplify right side
    31.48x = 1,267.25
  5. Step 5: Solve for x
    x = 1,267.25/31.48
  6. Step 6: Final answer
    x = 40.26

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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.