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Finding the Fourth Proportional to 15.32, 21.11 and 14.56

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Solution

The fourth proportional to 15.32, 21.11 and 14.56 is: 20.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.32 : 21.11 = 14.56 : x
  2. Step 2: Convert to fraction form
    15.32/21.11 = 14.56/x
  3. Step 3: Cross multiply
    15.32x = 21.11 × 14.56
  4. Step 4: Simplify right side
    15.32x = 307.18
  5. Step 5: Solve for x
    x = 307.18/15.32
  6. Step 6: Final answer
    x = 20.05

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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.