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Finding the Fourth Proportional to 10.66, 14.71 and 6.34

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Solution

The fourth proportional to 10.66, 14.71 and 6.34 is: 8.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.66 : 14.71 = 6.34 : x
  2. Step 2: Convert to fraction form
    10.66/14.71 = 6.34/x
  3. Step 3: Cross multiply
    10.66x = 14.71 × 6.34
  4. Step 4: Simplify right side
    10.66x = 93.26
  5. Step 5: Solve for x
    x = 93.26/10.66
  6. Step 6: Final answer
    x = 8.75

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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.