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Finding the Fourth Proportional to 165.68, 228.54 and 106.64

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Solution

The fourth proportional to 165.68, 228.54 and 106.64 is: 147.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.68 : 228.54 = 106.64 : x
  2. Step 2: Convert to fraction form
    165.68/228.54 = 106.64/x
  3. Step 3: Cross multiply
    165.68x = 228.54 × 106.64
  4. Step 4: Simplify right side
    165.68x = 24,371.51
  5. Step 5: Solve for x
    x = 24,371.51/165.68
  6. Step 6: Final answer
    x = 147.10

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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.