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Finding the Fourth Proportional to 53.82, 74.28 and 30.51

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Solution

The fourth proportional to 53.82, 74.28 and 30.51 is: 42.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.82 : 74.28 = 30.51 : x
  2. Step 2: Convert to fraction form
    53.82/74.28 = 30.51/x
  3. Step 3: Cross multiply
    53.82x = 74.28 × 30.51
  4. Step 4: Simplify right side
    53.82x = 2,266.39
  5. Step 5: Solve for x
    x = 2,266.39/53.82
  6. Step 6: Final answer
    x = 42.11

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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.