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Finding the Fourth Proportional to 165.62, 228.46 and 100.10

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Solution

The fourth proportional to 165.62, 228.46 and 100.10 is: 138.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.62 : 228.46 = 100.10 : x
  2. Step 2: Convert to fraction form
    165.62/228.46 = 100.10/x
  3. Step 3: Cross multiply
    165.62x = 228.46 × 100.10
  4. Step 4: Simplify right side
    165.62x = 22,868.85
  5. Step 5: Solve for x
    x = 22,868.85/165.62
  6. Step 6: Final answer
    x = 138.08

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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.