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Finding the Fourth Proportional to 21.03, 31.54 and 7.32

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Solution

The fourth proportional to 21.03, 31.54 and 7.32 is: 10.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.03 : 31.54 = 7.32 : x
  2. Step 2: Convert to fraction form
    21.03/31.54 = 7.32/x
  3. Step 3: Cross multiply
    21.03x = 31.54 × 7.32
  4. Step 4: Simplify right side
    21.03x = 230.72
  5. Step 5: Solve for x
    x = 230.72/21.03
  6. Step 6: Final answer
    x = 10.97

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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.