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Finding the Fourth Proportional to 165.93, 228.88 and 100.37

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Solution

The fourth proportional to 165.93, 228.88 and 100.37 is: 138.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.93 : 228.88 = 100.37 : x
  2. Step 2: Convert to fraction form
    165.93/228.88 = 100.37/x
  3. Step 3: Cross multiply
    165.93x = 228.88 × 100.37
  4. Step 4: Simplify right side
    165.93x = 22,972.69
  5. Step 5: Solve for x
    x = 22,972.69/165.93
  6. Step 6: Final answer
    x = 138.45

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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.