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Finding the Fourth Proportional to 117.14, 161.66 and 72.89

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Solution

The fourth proportional to 117.14, 161.66 and 72.89 is: 100.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.14 : 161.66 = 72.89 : x
  2. Step 2: Convert to fraction form
    117.14/161.66 = 72.89/x
  3. Step 3: Cross multiply
    117.14x = 161.66 × 72.89
  4. Step 4: Simplify right side
    117.14x = 11,782.22
  5. Step 5: Solve for x
    x = 11,782.22/117.14
  6. Step 6: Final answer
    x = 100.59

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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.