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Finding the Fourth Proportional to 10.57, 15.85 and 6.04

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Solution

The fourth proportional to 10.57, 15.85 and 6.04 is: 9.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.57 : 15.85 = 6.04 : x
  2. Step 2: Convert to fraction form
    10.57/15.85 = 6.04/x
  3. Step 3: Cross multiply
    10.57x = 15.85 × 6.04
  4. Step 4: Simplify right side
    10.57x = 95.73
  5. Step 5: Solve for x
    x = 95.73/10.57
  6. Step 6: Final answer
    x = 9.06

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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.