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Finding the Fourth Proportional to 116.10, 164.70 and 116.10

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Solution

The fourth proportional to 116.10, 164.70 and 116.10 is: 164.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.10 : 164.70 = 116.10 : x
  2. Step 2: Convert to fraction form
    116.10/164.70 = 116.10/x
  3. Step 3: Cross multiply
    116.10x = 164.70 × 116.10
  4. Step 4: Simplify right side
    116.10x = 19,121.67
  5. Step 5: Solve for x
    x = 19,121.67/116.10
  6. Step 6: Final answer
    x = 164.70

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.