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Finding the Fourth Proportional to 10.66, 14.70 and 6.28

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Solution

The fourth proportional to 10.66, 14.70 and 6.28 is: 8.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.66 : 14.70 = 6.28 : x
  2. Step 2: Convert to fraction form
    10.66/14.70 = 6.28/x
  3. Step 3: Cross multiply
    10.66x = 14.70 × 6.28
  4. Step 4: Simplify right side
    10.66x = 92.32
  5. Step 5: Solve for x
    x = 92.32/10.66
  6. Step 6: Final answer
    x = 8.66

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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.