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Finding the Fourth Proportional to 54.65, 75.24 and 42.17

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Solution

The fourth proportional to 54.65, 75.24 and 42.17 is: 58.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.65 : 75.24 = 42.17 : x
  2. Step 2: Convert to fraction form
    54.65/75.24 = 42.17/x
  3. Step 3: Cross multiply
    54.65x = 75.24 × 42.17
  4. Step 4: Simplify right side
    54.65x = 3,172.87
  5. Step 5: Solve for x
    x = 3,172.87/54.65
  6. Step 6: Final answer
    x = 58.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.