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Finding the Fourth Proportional to 27.02, 40.48 and 17.50

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Solution

The fourth proportional to 27.02, 40.48 and 17.50 is: 26.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.02 : 40.48 = 17.50 : x
  2. Step 2: Convert to fraction form
    27.02/40.48 = 17.50/x
  3. Step 3: Cross multiply
    27.02x = 40.48 × 17.50
  4. Step 4: Simplify right side
    27.02x = 708.40
  5. Step 5: Solve for x
    x = 708.40/27.02
  6. Step 6: Final answer
    x = 26.22

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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.