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Finding the Fourth Proportional to 15.29, 21.08 and 13

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Solution

The fourth proportional to 15.29, 21.08 and 13 is: 17.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.29 : 21.08 = 13 : x
  2. Step 2: Convert to fraction form
    15.29/21.08 = 13/x
  3. Step 3: Cross multiply
    15.29x = 21.08 × 13
  4. Step 4: Simplify right side
    15.29x = 274.04
  5. Step 5: Solve for x
    x = 274.04/15.29
  6. Step 6: Final answer
    x = 17.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.