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Finding the Fourth Proportional to 147.44, 203.60 and 123.14

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Solution

The fourth proportional to 147.44, 203.60 and 123.14 is: 170.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.44 : 203.60 = 123.14 : x
  2. Step 2: Convert to fraction form
    147.44/203.60 = 123.14/x
  3. Step 3: Cross multiply
    147.44x = 203.60 × 123.14
  4. Step 4: Simplify right side
    147.44x = 25,071.30
  5. Step 5: Solve for x
    x = 25,071.30/147.44
  6. Step 6: Final answer
    x = 170.04

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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.