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Finding the Fourth Proportional to 54.22, 75.13 and 53.57

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Solution

The fourth proportional to 54.22, 75.13 and 53.57 is: 74.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.22 : 75.13 = 53.57 : x
  2. Step 2: Convert to fraction form
    54.22/75.13 = 53.57/x
  3. Step 3: Cross multiply
    54.22x = 75.13 × 53.57
  4. Step 4: Simplify right side
    54.22x = 4,024.71
  5. Step 5: Solve for x
    x = 4,024.71/54.22
  6. Step 6: Final answer
    x = 74.23

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.