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Finding the Fourth Proportional to 148.84, 205.34 and 99.66

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Solution

The fourth proportional to 148.84, 205.34 and 99.66 is: 137.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.84 : 205.34 = 99.66 : x
  2. Step 2: Convert to fraction form
    148.84/205.34 = 99.66/x
  3. Step 3: Cross multiply
    148.84x = 205.34 × 99.66
  4. Step 4: Simplify right side
    148.84x = 20,464.18
  5. Step 5: Solve for x
    x = 20,464.18/148.84
  6. Step 6: Final answer
    x = 137.49

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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.