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Finding the Fourth Proportional to 153.06, 229.61 and 76.06

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Solution

The fourth proportional to 153.06, 229.61 and 76.06 is: 114.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.06 : 229.61 = 76.06 : x
  2. Step 2: Convert to fraction form
    153.06/229.61 = 76.06/x
  3. Step 3: Cross multiply
    153.06x = 229.61 × 76.06
  4. Step 4: Simplify right side
    153.06x = 17,463.76
  5. Step 5: Solve for x
    x = 17,463.76/153.06
  6. Step 6: Final answer
    x = 114.10

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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.