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Finding the Fourth Proportional to 21.03, 31.55 and 13.07

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Solution

The fourth proportional to 21.03, 31.55 and 13.07 is: 19.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.03 : 31.55 = 13.07 : x
  2. Step 2: Convert to fraction form
    21.03/31.55 = 13.07/x
  3. Step 3: Cross multiply
    21.03x = 31.55 × 13.07
  4. Step 4: Simplify right side
    21.03x = 412.14
  5. Step 5: Solve for x
    x = 412.14/21.03
  6. Step 6: Final answer
    x = 19.60

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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.