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Finding the Fourth Proportional to 165.70, 228.62 and 103.58

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Solution

The fourth proportional to 165.70, 228.62 and 103.58 is: 142.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.70 : 228.62 = 103.58 : x
  2. Step 2: Convert to fraction form
    165.70/228.62 = 103.58/x
  3. Step 3: Cross multiply
    165.70x = 228.62 × 103.58
  4. Step 4: Simplify right side
    165.70x = 23,680.46
  5. Step 5: Solve for x
    x = 23,680.46/165.70
  6. Step 6: Final answer
    x = 142.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.