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Finding the Fourth Proportional to 153.09, 229.77 and 129.06

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Solution

The fourth proportional to 153.09, 229.77 and 129.06 is: 193.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.09 : 229.77 = 129.06 : x
  2. Step 2: Convert to fraction form
    153.09/229.77 = 129.06/x
  3. Step 3: Cross multiply
    153.09x = 229.77 × 129.06
  4. Step 4: Simplify right side
    153.09x = 29,654.12
  5. Step 5: Solve for x
    x = 29,654.12/153.09
  6. Step 6: Final answer
    x = 193.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.