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Finding the Fourth Proportional to 10.77, 14.85 and 8.34

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Solution

The fourth proportional to 10.77, 14.85 and 8.34 is: 11.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.77 : 14.85 = 8.34 : x
  2. Step 2: Convert to fraction form
    10.77/14.85 = 8.34/x
  3. Step 3: Cross multiply
    10.77x = 14.85 × 8.34
  4. Step 4: Simplify right side
    10.77x = 123.85
  5. Step 5: Solve for x
    x = 123.85/10.77
  6. Step 6: Final answer
    x = 11.50

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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.