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Finding the Fourth Proportional to 147.12, 203.04 and 105.84

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Solution

The fourth proportional to 147.12, 203.04 and 105.84 is: 146.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.12 : 203.04 = 105.84 : x
  2. Step 2: Convert to fraction form
    147.12/203.04 = 105.84/x
  3. Step 3: Cross multiply
    147.12x = 203.04 × 105.84
  4. Step 4: Simplify right side
    147.12x = 21,489.75
  5. Step 5: Solve for x
    x = 21,489.75/147.12
  6. Step 6: Final answer
    x = 146.07

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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.