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Finding the Fourth Proportional to 165.76, 228.75 and 106.76

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Solution

The fourth proportional to 165.76, 228.75 and 106.76 is: 147.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.76 : 228.75 = 106.76 : x
  2. Step 2: Convert to fraction form
    165.76/228.75 = 106.76/x
  3. Step 3: Cross multiply
    165.76x = 228.75 × 106.76
  4. Step 4: Simplify right side
    165.76x = 24,421.92
  5. Step 5: Solve for x
    x = 24,421.92/165.76
  6. Step 6: Final answer
    x = 147.34

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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.