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Finding the Fourth Proportional to 153.20, 229.88 and 84.68

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Solution

The fourth proportional to 153.20, 229.88 and 84.68 is: 127.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.20 : 229.88 = 84.68 : x
  2. Step 2: Convert to fraction form
    153.20/229.88 = 84.68/x
  3. Step 3: Cross multiply
    153.20x = 229.88 × 84.68
  4. Step 4: Simplify right side
    153.20x = 19,466.24
  5. Step 5: Solve for x
    x = 19,466.24/153.20
  6. Step 6: Final answer
    x = 127.06

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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.