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Finding the Fourth Proportional to 148.80, 205.30 and 89.76

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Solution

The fourth proportional to 148.80, 205.30 and 89.76 is: 123.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.80 : 205.30 = 89.76 : x
  2. Step 2: Convert to fraction form
    148.80/205.30 = 89.76/x
  3. Step 3: Cross multiply
    148.80x = 205.30 × 89.76
  4. Step 4: Simplify right side
    148.80x = 18,427.73
  5. Step 5: Solve for x
    x = 18,427.73/148.80
  6. Step 6: Final answer
    x = 123.84

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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.