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Finding the Fourth Proportional to 165.60, 228.54 and 100.08

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Solution

The fourth proportional to 165.60, 228.54 and 100.08 is: 138.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.60 : 228.54 = 100.08 : x
  2. Step 2: Convert to fraction form
    165.60/228.54 = 100.08/x
  3. Step 3: Cross multiply
    165.60x = 228.54 × 100.08
  4. Step 4: Simplify right side
    165.60x = 22,872.28
  5. Step 5: Solve for x
    x = 22,872.28/165.60
  6. Step 6: Final answer
    x = 138.12

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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.