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Finding the Fourth Proportional to 36.97, 55.45 and 16.40

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Solution

The fourth proportional to 36.97, 55.45 and 16.40 is: 24.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.97 : 55.45 = 16.40 : x
  2. Step 2: Convert to fraction form
    36.97/55.45 = 16.40/x
  3. Step 3: Cross multiply
    36.97x = 55.45 × 16.40
  4. Step 4: Simplify right side
    36.97x = 909.23
  5. Step 5: Solve for x
    x = 909.23/36.97
  6. Step 6: Final answer
    x = 24.60

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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.