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Finding the Fourth Proportional to 31.04, 46.73 and 24.66

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Solution

The fourth proportional to 31.04, 46.73 and 24.66 is: 37.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.04 : 46.73 = 24.66 : x
  2. Step 2: Convert to fraction form
    31.04/46.73 = 24.66/x
  3. Step 3: Cross multiply
    31.04x = 46.73 × 24.66
  4. Step 4: Simplify right side
    31.04x = 1,152.24
  5. Step 5: Solve for x
    x = 1,152.24/31.04
  6. Step 6: Final answer
    x = 37.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.