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Finding the Fourth Proportional to 120.02, 165.57 and 76.34

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Solution

The fourth proportional to 120.02, 165.57 and 76.34 is: 105.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.02 : 165.57 = 76.34 : x
  2. Step 2: Convert to fraction form
    120.02/165.57 = 76.34/x
  3. Step 3: Cross multiply
    120.02x = 165.57 × 76.34
  4. Step 4: Simplify right side
    120.02x = 12,639.61
  5. Step 5: Solve for x
    x = 12,639.61/120.02
  6. Step 6: Final answer
    x = 105.31

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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.