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Finding the Fourth Proportional to 15.90, 21.49 and 15.90

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Solution

The fourth proportional to 15.90, 21.49 and 15.90 is: 21.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.90 : 21.49 = 15.90 : x
  2. Step 2: Convert to fraction form
    15.90/21.49 = 15.90/x
  3. Step 3: Cross multiply
    15.90x = 21.49 × 15.90
  4. Step 4: Simplify right side
    15.90x = 341.69
  5. Step 5: Solve for x
    x = 341.69/15.90
  6. Step 6: Final answer
    x = 21.49

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.