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Finding the Fourth Proportional to 165.54, 228.48 and 100.02

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Solution

The fourth proportional to 165.54, 228.48 and 100.02 is: 138.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.54 : 228.48 = 100.02 : x
  2. Step 2: Convert to fraction form
    165.54/228.48 = 100.02/x
  3. Step 3: Cross multiply
    165.54x = 228.48 × 100.02
  4. Step 4: Simplify right side
    165.54x = 22,852.57
  5. Step 5: Solve for x
    x = 22,852.57/165.54
  6. Step 6: Final answer
    x = 138.05

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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.