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Finding the Fourth Proportional to 119.99, 166.73 and 118.53

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Solution

The fourth proportional to 119.99, 166.73 and 118.53 is: 164.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.99 : 166.73 = 118.53 : x
  2. Step 2: Convert to fraction form
    119.99/166.73 = 118.53/x
  3. Step 3: Cross multiply
    119.99x = 166.73 × 118.53
  4. Step 4: Simplify right side
    119.99x = 19,762.51
  5. Step 5: Solve for x
    x = 19,762.51/119.99
  6. Step 6: Final answer
    x = 164.70

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.