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Finding the Fourth Proportional to 165.70, 228.65 and 92.02

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Solution

The fourth proportional to 165.70, 228.65 and 92.02 is: 126.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.70 : 228.65 = 92.02 : x
  2. Step 2: Convert to fraction form
    165.70/228.65 = 92.02/x
  3. Step 3: Cross multiply
    165.70x = 228.65 × 92.02
  4. Step 4: Simplify right side
    165.70x = 21,040.03
  5. Step 5: Solve for x
    x = 21,040.03/165.70
  6. Step 6: Final answer
    x = 126.98

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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.