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Finding the Fourth Proportional to 53.65, 74.02 and 30.33

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Solution

The fourth proportional to 53.65, 74.02 and 30.33 is: 41.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.65 : 74.02 = 30.33 : x
  2. Step 2: Convert to fraction form
    53.65/74.02 = 30.33/x
  3. Step 3: Cross multiply
    53.65x = 74.02 × 30.33
  4. Step 4: Simplify right side
    53.65x = 2,245.01
  5. Step 5: Solve for x
    x = 2,245.01/53.65
  6. Step 6: Final answer
    x = 41.85

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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.