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Finding the Fourth Proportional to 107.72, 162.20 and 88.64

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Solution

The fourth proportional to 107.72, 162.20 and 88.64 is: 133.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.72 : 162.20 = 88.64 : x
  2. Step 2: Convert to fraction form
    107.72/162.20 = 88.64/x
  3. Step 3: Cross multiply
    107.72x = 162.20 × 88.64
  4. Step 4: Simplify right side
    107.72x = 14,377.41
  5. Step 5: Solve for x
    x = 14,377.41/107.72
  6. Step 6: Final answer
    x = 133.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.