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Finding the Fourth Proportional to 153.23, 229.81 and 76.11

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Solution

The fourth proportional to 153.23, 229.81 and 76.11 is: 114.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.23 : 229.81 = 76.11 : x
  2. Step 2: Convert to fraction form
    153.23/229.81 = 76.11/x
  3. Step 3: Cross multiply
    153.23x = 229.81 × 76.11
  4. Step 4: Simplify right side
    153.23x = 17,490.84
  5. Step 5: Solve for x
    x = 17,490.84/153.23
  6. Step 6: Final answer
    x = 114.15

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Why These Related Problems?

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