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Finding the Fourth Proportional to 54.10, 74.66 and 37.72

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Solution

The fourth proportional to 54.10, 74.66 and 37.72 is: 52.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.10 : 74.66 = 37.72 : x
  2. Step 2: Convert to fraction form
    54.10/74.66 = 37.72/x
  3. Step 3: Cross multiply
    54.10x = 74.66 × 37.72
  4. Step 4: Simplify right side
    54.10x = 2,816.18
  5. Step 5: Solve for x
    x = 2,816.18/54.10
  6. Step 6: Final answer
    x = 52.05

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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.