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Finding the Fourth Proportional to 165.60, 228.57 and 100.11

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Solution

The fourth proportional to 165.60, 228.57 and 100.11 is: 138.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.60 : 228.57 = 100.11 : x
  2. Step 2: Convert to fraction form
    165.60/228.57 = 100.11/x
  3. Step 3: Cross multiply
    165.60x = 228.57 × 100.11
  4. Step 4: Simplify right side
    165.60x = 22,882.14
  5. Step 5: Solve for x
    x = 22,882.14/165.60
  6. Step 6: Final answer
    x = 138.18

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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.