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Finding the Fourth Proportional to 120, 165.56 and 73.38

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Solution

The fourth proportional to 120, 165.56 and 73.38 is: 101.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    120 : 165.56 = 73.38 : x
  2. Step 2: Convert to fraction form
    120/165.56 = 73.38/x
  3. Step 3: Cross multiply
    120x = 165.56 × 73.38
  4. Step 4: Simplify right side
    120x = 12,148.79
  5. Step 5: Solve for x
    x = 12,148.79/120
  6. Step 6: Final answer
    x = 101.24

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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.