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Finding the Fourth Proportional to 14.56, 21.86 and 9.16

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Solution

The fourth proportional to 14.56, 21.86 and 9.16 is: 13.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.56 : 21.86 = 9.16 : x
  2. Step 2: Convert to fraction form
    14.56/21.86 = 9.16/x
  3. Step 3: Cross multiply
    14.56x = 21.86 × 9.16
  4. Step 4: Simplify right side
    14.56x = 200.24
  5. Step 5: Solve for x
    x = 200.24/14.56
  6. Step 6: Final answer
    x = 13.75

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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.