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Finding the Fourth Proportional to 153.81, 230.58 and 76.67

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Solution

The fourth proportional to 153.81, 230.58 and 76.67 is: 114.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.81 : 230.58 = 76.67 : x
  2. Step 2: Convert to fraction form
    153.81/230.58 = 76.67/x
  3. Step 3: Cross multiply
    153.81x = 230.58 × 76.67
  4. Step 4: Simplify right side
    153.81x = 17,677.42
  5. Step 5: Solve for x
    x = 17,677.42/153.81
  6. Step 6: Final answer
    x = 114.93

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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.