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Finding the Fourth Proportional to 15.85, 21.84 and 12.77

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Solution

The fourth proportional to 15.85, 21.84 and 12.77 is: 17.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.85 : 21.84 = 12.77 : x
  2. Step 2: Convert to fraction form
    15.85/21.84 = 12.77/x
  3. Step 3: Cross multiply
    15.85x = 21.84 × 12.77
  4. Step 4: Simplify right side
    15.85x = 278.90
  5. Step 5: Solve for x
    x = 278.90/15.85
  6. Step 6: Final answer
    x = 17.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.