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Finding the Fourth Proportional to 153.68, 230.35 and 76.57

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Solution

The fourth proportional to 153.68, 230.35 and 76.57 is: 114.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.68 : 230.35 = 76.57 : x
  2. Step 2: Convert to fraction form
    153.68/230.35 = 76.57/x
  3. Step 3: Cross multiply
    153.68x = 230.35 × 76.57
  4. Step 4: Simplify right side
    153.68x = 17,636.94
  5. Step 5: Solve for x
    x = 17,636.94/153.68
  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.