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Finding the Fourth Proportional to 151.88, 209.79 and 123.12

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Solution

The fourth proportional to 151.88, 209.79 and 123.12 is: 170.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.88 : 209.79 = 123.12 : x
  2. Step 2: Convert to fraction form
    151.88/209.79 = 123.12/x
  3. Step 3: Cross multiply
    151.88x = 209.79 × 123.12
  4. Step 4: Simplify right side
    151.88x = 25,829.34
  5. Step 5: Solve for x
    x = 25,829.34/151.88
  6. Step 6: Final answer
    x = 170.07

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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.