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Finding the Fourth Proportional to 42.54, 58.74 and 27.01

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Solution

The fourth proportional to 42.54, 58.74 and 27.01 is: 37.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.54 : 58.74 = 27.01 : x
  2. Step 2: Convert to fraction form
    42.54/58.74 = 27.01/x
  3. Step 3: Cross multiply
    42.54x = 58.74 × 27.01
  4. Step 4: Simplify right side
    42.54x = 1,586.57
  5. Step 5: Solve for x
    x = 1,586.57/42.54
  6. Step 6: Final answer
    x = 37.30

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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.