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Finding the Fourth Proportional to 10.71, 14.77 and 8.53

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Solution

The fourth proportional to 10.71, 14.77 and 8.53 is: 11.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.71 : 14.77 = 8.53 : x
  2. Step 2: Convert to fraction form
    10.71/14.77 = 8.53/x
  3. Step 3: Cross multiply
    10.71x = 14.77 × 8.53
  4. Step 4: Simplify right side
    10.71x = 125.99
  5. Step 5: Solve for x
    x = 125.99/10.71
  6. Step 6: Final answer
    x = 11.76

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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.