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Finding the Fourth Proportional to 153.59, 230.32 and 76.53

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Solution

The fourth proportional to 153.59, 230.32 and 76.53 is: 114.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.59 : 230.32 = 76.53 : x
  2. Step 2: Convert to fraction form
    153.59/230.32 = 76.53/x
  3. Step 3: Cross multiply
    153.59x = 230.32 × 76.53
  4. Step 4: Simplify right side
    153.59x = 17,625.43
  5. Step 5: Solve for x
    x = 17,625.43/153.59
  6. Step 6: Final answer
    x = 114.76

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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.