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Finding the Fourth Proportional to 165.45, 228.33 and 99.93

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Solution

The fourth proportional to 165.45, 228.33 and 99.93 is: 137.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.45 : 228.33 = 99.93 : x
  2. Step 2: Convert to fraction form
    165.45/228.33 = 99.93/x
  3. Step 3: Cross multiply
    165.45x = 228.33 × 99.93
  4. Step 4: Simplify right side
    165.45x = 22,817.02
  5. Step 5: Solve for x
    x = 22,817.02/165.45
  6. Step 6: Final answer
    x = 137.91

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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.