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Finding the Fourth Proportional to 10.57, 15.84 and 9.05

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Solution

The fourth proportional to 10.57, 15.84 and 9.05 is: 13.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.57 : 15.84 = 9.05 : x
  2. Step 2: Convert to fraction form
    10.57/15.84 = 9.05/x
  3. Step 3: Cross multiply
    10.57x = 15.84 × 9.05
  4. Step 4: Simplify right side
    10.57x = 143.31
  5. Step 5: Solve for x
    x = 143.31/10.57
  6. Step 6: Final answer
    x = 13.56

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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.