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Finding the Fourth Proportional to 46.39, 69.56 and 15.95

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Solution

The fourth proportional to 46.39, 69.56 and 15.95 is: 23.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.39 : 69.56 = 15.95 : x
  2. Step 2: Convert to fraction form
    46.39/69.56 = 15.95/x
  3. Step 3: Cross multiply
    46.39x = 69.56 × 15.95
  4. Step 4: Simplify right side
    46.39x = 1,109.11
  5. Step 5: Solve for x
    x = 1,109.11/46.39
  6. Step 6: Final answer
    x = 23.91

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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.