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Finding the Fourth Proportional to 31.06, 42.74 and 30.52

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Solution

The fourth proportional to 31.06, 42.74 and 30.52 is: 42.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.06 : 42.74 = 30.52 : x
  2. Step 2: Convert to fraction form
    31.06/42.74 = 30.52/x
  3. Step 3: Cross multiply
    31.06x = 42.74 × 30.52
  4. Step 4: Simplify right side
    31.06x = 1,304.21
  5. Step 5: Solve for x
    x = 1,304.21/31.06
  6. Step 6: Final answer
    x = 42.00

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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.