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Finding the Fourth Proportional to 54.18, 75.14 and 52.29

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Solution

The fourth proportional to 54.18, 75.14 and 52.29 is: 72.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.18 : 75.14 = 52.29 : x
  2. Step 2: Convert to fraction form
    54.18/75.14 = 52.29/x
  3. Step 3: Cross multiply
    54.18x = 75.14 × 52.29
  4. Step 4: Simplify right side
    54.18x = 3,928.81
  5. Step 5: Solve for x
    x = 3,928.81/54.18
  6. Step 6: Final answer
    x = 72.51

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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.