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Finding the Fourth Proportional to 116.78, 161.16 and 65.03

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Solution

The fourth proportional to 116.78, 161.16 and 65.03 is: 89.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.78 : 161.16 = 65.03 : x
  2. Step 2: Convert to fraction form
    116.78/161.16 = 65.03/x
  3. Step 3: Cross multiply
    116.78x = 161.16 × 65.03
  4. Step 4: Simplify right side
    116.78x = 10,480.23
  5. Step 5: Solve for x
    x = 10,480.23/116.78
  6. Step 6: Final answer
    x = 89.74

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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.