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Finding the Fourth Proportional to 153.74, 230.25 and 76.46

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Solution

The fourth proportional to 153.74, 230.25 and 76.46 is: 114.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.74 : 230.25 = 76.46 : x
  2. Step 2: Convert to fraction form
    153.74/230.25 = 76.46/x
  3. Step 3: Cross multiply
    153.74x = 230.25 × 76.46
  4. Step 4: Simplify right side
    153.74x = 17,603.96
  5. Step 5: Solve for x
    x = 17,603.96/153.74
  6. Step 6: Final answer
    x = 114.51

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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.