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Finding the Fourth Proportional to 148.29, 204.80 and 104.55

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Solution

The fourth proportional to 148.29, 204.80 and 104.55 is: 144.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.29 : 204.80 = 104.55 : x
  2. Step 2: Convert to fraction form
    148.29/204.80 = 104.55/x
  3. Step 3: Cross multiply
    148.29x = 204.80 × 104.55
  4. Step 4: Simplify right side
    148.29x = 21,411.32
  5. Step 5: Solve for x
    x = 21,411.32/148.29
  6. Step 6: Final answer
    x = 144.39

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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.