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Finding the Fourth Proportional to 119.74, 165.19 and 73.10

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Solution

The fourth proportional to 119.74, 165.19 and 73.10 is: 100.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.74 : 165.19 = 73.10 : x
  2. Step 2: Convert to fraction form
    119.74/165.19 = 73.10/x
  3. Step 3: Cross multiply
    119.74x = 165.19 × 73.10
  4. Step 4: Simplify right side
    119.74x = 12,075.03
  5. Step 5: Solve for x
    x = 12,075.03/119.74
  6. Step 6: Final answer
    x = 100.84

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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.