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Finding the Fourth Proportional to 116.66, 161.16 and 102.08

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Solution

The fourth proportional to 116.66, 161.16 and 102.08 is: 141.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.66 : 161.16 = 102.08 : x
  2. Step 2: Convert to fraction form
    116.66/161.16 = 102.08/x
  3. Step 3: Cross multiply
    116.66x = 161.16 × 102.08
  4. Step 4: Simplify right side
    116.66x = 16,451.21
  5. Step 5: Solve for x
    x = 16,451.21/116.66
  6. Step 6: Final answer
    x = 141.02

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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.