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Finding the Fourth Proportional to 148.77, 205.10 and 102.07

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Solution

The fourth proportional to 148.77, 205.10 and 102.07 is: 140.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.77 : 205.10 = 102.07 : x
  2. Step 2: Convert to fraction form
    148.77/205.10 = 102.07/x
  3. Step 3: Cross multiply
    148.77x = 205.10 × 102.07
  4. Step 4: Simplify right side
    148.77x = 20,934.97
  5. Step 5: Solve for x
    x = 20,934.97/148.77
  6. Step 6: Final answer
    x = 140.72

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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.