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Finding the Fourth Proportional to 151.64, 209.04 and 110.12

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Solution

The fourth proportional to 151.64, 209.04 and 110.12 is: 151.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.64 : 209.04 = 110.12 : x
  2. Step 2: Convert to fraction form
    151.64/209.04 = 110.12/x
  3. Step 3: Cross multiply
    151.64x = 209.04 × 110.12
  4. Step 4: Simplify right side
    151.64x = 23,019.48
  5. Step 5: Solve for x
    x = 23,019.48/151.64
  6. Step 6: Final answer
    x = 151.80

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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.