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Finding the Fourth Proportional to 243.09, 364.54 and 106.14

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Solution

The fourth proportional to 243.09, 364.54 and 106.14 is: 159.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.09 : 364.54 = 106.14 : x
  2. Step 2: Convert to fraction form
    243.09/364.54 = 106.14/x
  3. Step 3: Cross multiply
    243.09x = 364.54 × 106.14
  4. Step 4: Simplify right side
    243.09x = 38,692.28
  5. Step 5: Solve for x
    x = 38,692.28/243.09
  6. Step 6: Final answer
    x = 159.17

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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.