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Finding the Fourth Proportional to 53.68, 74.09 and 38.14

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Solution

The fourth proportional to 53.68, 74.09 and 38.14 is: 52.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.68 : 74.09 = 38.14 : x
  2. Step 2: Convert to fraction form
    53.68/74.09 = 38.14/x
  3. Step 3: Cross multiply
    53.68x = 74.09 × 38.14
  4. Step 4: Simplify right side
    53.68x = 2,825.79
  5. Step 5: Solve for x
    x = 2,825.79/53.68
  6. Step 6: Final answer
    x = 52.64

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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.