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Finding the Fourth Proportional to 165.78, 228.75 and 95.83

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Solution

The fourth proportional to 165.78, 228.75 and 95.83 is: 132.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.78 : 228.75 = 95.83 : x
  2. Step 2: Convert to fraction form
    165.78/228.75 = 95.83/x
  3. Step 3: Cross multiply
    165.78x = 228.75 × 95.83
  4. Step 4: Simplify right side
    165.78x = 21,921.11
  5. Step 5: Solve for x
    x = 21,921.11/165.78
  6. Step 6: Final answer
    x = 132.23

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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.