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Finding the Fourth Proportional to 54.13, 74.68 and 41.01

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Solution

The fourth proportional to 54.13, 74.68 and 41.01 is: 56.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.13 : 74.68 = 41.01 : x
  2. Step 2: Convert to fraction form
    54.13/74.68 = 41.01/x
  3. Step 3: Cross multiply
    54.13x = 74.68 × 41.01
  4. Step 4: Simplify right side
    54.13x = 3,062.63
  5. Step 5: Solve for x
    x = 3,062.63/54.13
  6. Step 6: Final answer
    x = 56.58

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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.