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Finding the Fourth Proportional to 101.84, 141.48 and 100.89

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Solution

The fourth proportional to 101.84, 141.48 and 100.89 is: 140.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.84 : 141.48 = 100.89 : x
  2. Step 2: Convert to fraction form
    101.84/141.48 = 100.89/x
  3. Step 3: Cross multiply
    101.84x = 141.48 × 100.89
  4. Step 4: Simplify right side
    101.84x = 14,273.92
  5. Step 5: Solve for x
    x = 14,273.92/101.84
  6. Step 6: Final answer
    x = 140.16

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.