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Finding the Fourth Proportional to 54.30, 74.76 and 42.02

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Solution

The fourth proportional to 54.30, 74.76 and 42.02 is: 57.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.30 : 74.76 = 42.02 : x
  2. Step 2: Convert to fraction form
    54.30/74.76 = 42.02/x
  3. Step 3: Cross multiply
    54.30x = 74.76 × 42.02
  4. Step 4: Simplify right side
    54.30x = 3,141.16
  5. Step 5: Solve for x
    x = 3,141.16/54.30
  6. Step 6: Final answer
    x = 57.84

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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.