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Finding the Fourth Proportional to 27.31, 40.96 and 7.02

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Solution

The fourth proportional to 27.31, 40.96 and 7.02 is: 10.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.31 : 40.96 = 7.02 : x
  2. Step 2: Convert to fraction form
    27.31/40.96 = 7.02/x
  3. Step 3: Cross multiply
    27.31x = 40.96 × 7.02
  4. Step 4: Simplify right side
    27.31x = 287.46
  5. Step 5: Solve for x
    x = 287.46/27.31
  6. Step 6: Final answer
    x = 10.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.