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Finding the Fourth Proportional to 40.69, 61.03 and 13.64

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Solution

The fourth proportional to 40.69, 61.03 and 13.64 is: 20.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.69 : 61.03 = 13.64 : x
  2. Step 2: Convert to fraction form
    40.69/61.03 = 13.64/x
  3. Step 3: Cross multiply
    40.69x = 61.03 × 13.64
  4. Step 4: Simplify right side
    40.69x = 832.16
  5. Step 5: Solve for x
    x = 832.16/40.69
  6. Step 6: Final answer
    x = 20.45

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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.