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Finding the Fourth Proportional to 17.76, 24.53 and 14.55

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Solution

The fourth proportional to 17.76, 24.53 and 14.55 is: 20.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.76 : 24.53 = 14.55 : x
  2. Step 2: Convert to fraction form
    17.76/24.53 = 14.55/x
  3. Step 3: Cross multiply
    17.76x = 24.53 × 14.55
  4. Step 4: Simplify right side
    17.76x = 356.91
  5. Step 5: Solve for x
    x = 356.91/17.76
  6. Step 6: Final answer
    x = 20.10

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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.