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Finding the Fourth Proportional to 111.84, 154.41 and 102.59

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Solution

The fourth proportional to 111.84, 154.41 and 102.59 is: 141.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.84 : 154.41 = 102.59 : x
  2. Step 2: Convert to fraction form
    111.84/154.41 = 102.59/x
  3. Step 3: Cross multiply
    111.84x = 154.41 × 102.59
  4. Step 4: Simplify right side
    111.84x = 15,840.92
  5. Step 5: Solve for x
    x = 15,840.92/111.84
  6. Step 6: Final answer
    x = 141.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.