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Finding the Fourth Proportional to 148.96, 205.60 and 102.40

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Solution

The fourth proportional to 148.96, 205.60 and 102.40 is: 141.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.96 : 205.60 = 102.40 : x
  2. Step 2: Convert to fraction form
    148.96/205.60 = 102.40/x
  3. Step 3: Cross multiply
    148.96x = 205.60 × 102.40
  4. Step 4: Simplify right side
    148.96x = 21,053.44
  5. Step 5: Solve for x
    x = 21,053.44/148.96
  6. Step 6: Final answer
    x = 141.34

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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.