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Finding the Fourth Proportional to 165.22, 228.06 and 99.71

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Solution

The fourth proportional to 165.22, 228.06 and 99.71 is: 137.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.22 : 228.06 = 99.71 : x
  2. Step 2: Convert to fraction form
    165.22/228.06 = 99.71/x
  3. Step 3: Cross multiply
    165.22x = 228.06 × 99.71
  4. Step 4: Simplify right side
    165.22x = 22,740.43
  5. Step 5: Solve for x
    x = 22,740.43/165.22
  6. Step 6: Final answer
    x = 137.64

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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.