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Finding the Fourth Proportional to 31.03, 46.47 and 15.77

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Solution

The fourth proportional to 31.03, 46.47 and 15.77 is: 23.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.03 : 46.47 = 15.77 : x
  2. Step 2: Convert to fraction form
    31.03/46.47 = 15.77/x
  3. Step 3: Cross multiply
    31.03x = 46.47 × 15.77
  4. Step 4: Simplify right side
    31.03x = 732.60
  5. Step 5: Solve for x
    x = 732.60/31.03
  6. Step 6: Final answer
    x = 23.61

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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.