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Finding the Fourth Proportional to 9.85, 14.78 and 5.85

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Solution

The fourth proportional to 9.85, 14.78 and 5.85 is: 8.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.85 : 14.78 = 5.85 : x
  2. Step 2: Convert to fraction form
    9.85/14.78 = 5.85/x
  3. Step 3: Cross multiply
    9.85x = 14.78 × 5.85
  4. Step 4: Simplify right side
    9.85x = 86.39
  5. Step 5: Solve for x
    x = 86.39/9.85
  6. Step 6: Final answer
    x = 8.77

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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.