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Finding the Fourth Proportional to 54.30, 74.98 and 42.05

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Solution

The fourth proportional to 54.30, 74.98 and 42.05 is: 58.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.30 : 74.98 = 42.05 : x
  2. Step 2: Convert to fraction form
    54.30/74.98 = 42.05/x
  3. Step 3: Cross multiply
    54.30x = 74.98 × 42.05
  4. Step 4: Simplify right side
    54.30x = 3,153.15
  5. Step 5: Solve for x
    x = 3,153.15/54.30
  6. Step 6: Final answer
    x = 58.07

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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.