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Finding the Fourth Proportional to 10.70, 16.14 and 10.59

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Solution

The fourth proportional to 10.70, 16.14 and 10.59 is: 15.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.70 : 16.14 = 10.59 : x
  2. Step 2: Convert to fraction form
    10.70/16.14 = 10.59/x
  3. Step 3: Cross multiply
    10.70x = 16.14 × 10.59
  4. Step 4: Simplify right side
    10.70x = 170.79
  5. Step 5: Solve for x
    x = 170.79/10.70
  6. Step 6: Final answer
    x = 15.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.