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Finding the Fourth Proportional to 119.93, 165.53 and 83.14

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Solution

The fourth proportional to 119.93, 165.53 and 83.14 is: 114.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.93 : 165.53 = 83.14 : x
  2. Step 2: Convert to fraction form
    119.93/165.53 = 83.14/x
  3. Step 3: Cross multiply
    119.93x = 165.53 × 83.14
  4. Step 4: Simplify right side
    119.93x = 13,762.16
  5. Step 5: Solve for x
    x = 13,762.16/119.93
  6. Step 6: Final answer
    x = 114.75

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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.