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Finding the Fourth Proportional to 114.30, 155.70 and 113.76

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Solution

The fourth proportional to 114.30, 155.70 and 113.76 is: 154.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.30 : 155.70 = 113.76 : x
  2. Step 2: Convert to fraction form
    114.30/155.70 = 113.76/x
  3. Step 3: Cross multiply
    114.30x = 155.70 × 113.76
  4. Step 4: Simplify right side
    114.30x = 17,712.43
  5. Step 5: Solve for x
    x = 17,712.43/114.30
  6. Step 6: Final answer
    x = 154.96

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.