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Finding the Fourth Proportional to 77.69, 116.55 and 22.10

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Solution

The fourth proportional to 77.69, 116.55 and 22.10 is: 33.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.69 : 116.55 = 22.10 : x
  2. Step 2: Convert to fraction form
    77.69/116.55 = 22.10/x
  3. Step 3: Cross multiply
    77.69x = 116.55 × 22.10
  4. Step 4: Simplify right side
    77.69x = 2,576.02
  5. Step 5: Solve for x
    x = 2,576.02/77.69
  6. Step 6: Final answer
    x = 33.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.