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Finding the Fourth Proportional to 153.10, 229.38 and 88.84

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Solution

The fourth proportional to 153.10, 229.38 and 88.84 is: 133.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.10 : 229.38 = 88.84 : x
  2. Step 2: Convert to fraction form
    153.10/229.38 = 88.84/x
  3. Step 3: Cross multiply
    153.10x = 229.38 × 88.84
  4. Step 4: Simplify right side
    153.10x = 20,378.12
  5. Step 5: Solve for x
    x = 20,378.12/153.10
  6. Step 6: Final answer
    x = 133.10

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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.