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Finding the Fourth Proportional to 36.24, 53.98 and 35.84

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Solution

The fourth proportional to 36.24, 53.98 and 35.84 is: 53.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.24 : 53.98 = 35.84 : x
  2. Step 2: Convert to fraction form
    36.24/53.98 = 35.84/x
  3. Step 3: Cross multiply
    36.24x = 53.98 × 35.84
  4. Step 4: Simplify right side
    36.24x = 1,934.64
  5. Step 5: Solve for x
    x = 1,934.64/36.24
  6. Step 6: Final answer
    x = 53.38

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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.