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Finding the Fourth Proportional to 54.46, 75.16 and 42.17

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Solution

The fourth proportional to 54.46, 75.16 and 42.17 is: 58.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.46 : 75.16 = 42.17 : x
  2. Step 2: Convert to fraction form
    54.46/75.16 = 42.17/x
  3. Step 3: Cross multiply
    54.46x = 75.16 × 42.17
  4. Step 4: Simplify right side
    54.46x = 3,169.29
  5. Step 5: Solve for x
    x = 3,169.29/54.46
  6. Step 6: Final answer
    x = 58.20

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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.