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Finding the Fourth Proportional to 27.03, 40.58 and 21.02

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Solution

The fourth proportional to 27.03, 40.58 and 21.02 is: 31.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.03 : 40.58 = 21.02 : x
  2. Step 2: Convert to fraction form
    27.03/40.58 = 21.02/x
  3. Step 3: Cross multiply
    27.03x = 40.58 × 21.02
  4. Step 4: Simplify right side
    27.03x = 852.68
  5. Step 5: Solve for x
    x = 852.68/27.03
  6. Step 6: Final answer
    x = 31.55

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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.