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Finding the Fourth Proportional to 148.46, 204.68 and 107.02

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Solution

The fourth proportional to 148.46, 204.68 and 107.02 is: 147.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.46 : 204.68 = 107.02 : x
  2. Step 2: Convert to fraction form
    148.46/204.68 = 107.02/x
  3. Step 3: Cross multiply
    148.46x = 204.68 × 107.02
  4. Step 4: Simplify right side
    148.46x = 21,904.78
  5. Step 5: Solve for x
    x = 21,904.78/148.46
  6. Step 6: Final answer
    x = 147.55

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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.