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Finding the Fourth Proportional to 165.42, 228.31 and 123.91

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Solution

The fourth proportional to 165.42, 228.31 and 123.91 is: 171.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.42 : 228.31 = 123.91 : x
  2. Step 2: Convert to fraction form
    165.42/228.31 = 123.91/x
  3. Step 3: Cross multiply
    165.42x = 228.31 × 123.91
  4. Step 4: Simplify right side
    165.42x = 28,289.01
  5. Step 5: Solve for x
    x = 28,289.01/165.42
  6. Step 6: Final answer
    x = 171.01

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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.