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Finding the Fourth Proportional to 18.56, 27.70 and 16.53

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Solution

The fourth proportional to 18.56, 27.70 and 16.53 is: 24.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.56 : 27.70 = 16.53 : x
  2. Step 2: Convert to fraction form
    18.56/27.70 = 16.53/x
  3. Step 3: Cross multiply
    18.56x = 27.70 × 16.53
  4. Step 4: Simplify right side
    18.56x = 457.88
  5. Step 5: Solve for x
    x = 457.88/18.56
  6. Step 6: Final answer
    x = 24.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.